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Finding the Fourth Proportional to 14,929.26, 20,602.88 and 8,215.38

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Solution

The fourth proportional to 14,929.26, 20,602.88 and 8,215.38 is: 11,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,929.26 : 20,602.88 = 8,215.38 : x
  2. Step 2: Convert to fraction form
    14,929.26/20,602.88 = 8,215.38/x
  3. Step 3: Cross multiply
    14,929.26x = 20,602.88 × 8,215.38
  4. Step 4: Simplify right side
    14,929.26x = 169,260,447.22
  5. Step 5: Solve for x
    x = 169,260,447.22/14,929.26
  6. Step 6: Final answer
    x = 11,337.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.