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Finding the Fourth Proportional to 14,963.60, 22,477.80 and 14,412.80

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Solution

The fourth proportional to 14,963.60, 22,477.80 and 14,412.80 is: 21,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,963.60 : 22,477.80 = 14,412.80 : x
  2. Step 2: Convert to fraction form
    14,963.60/22,477.80 = 14,412.80/x
  3. Step 3: Cross multiply
    14,963.60x = 22,477.80 × 14,412.80
  4. Step 4: Simplify right side
    14,963.60x = 323,968,035.84
  5. Step 5: Solve for x
    x = 323,968,035.84/14,963.60
  6. Step 6: Final answer
    x = 21,650.41

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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.