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Finding the Fourth Proportional to 14,644,929.60, 22,014,633.60 and 10,414,396.80

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Solution

The fourth proportional to 14,644,929.60, 22,014,633.60 and 10,414,396.80 is: 15,655,188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644,929.60 : 22,014,633.60 = 10,414,396.80 : x
  2. Step 2: Convert to fraction form
    14,644,929.60/22,014,633.60 = 10,414,396.80/x
  3. Step 3: Cross multiply
    14,644,929.60x = 22,014,633.60 × 10,414,396.80
  4. Step 4: Simplify right side
    14,644,929.60x = 229,269,129,717,012.50
  5. Step 5: Solve for x
    x = 229,269,129,717,012.50/14,644,929.60
  6. Step 6: Final answer
    x = 15,655,188.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.