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Finding the Fourth Proportional to 16,414.19, 22,650.76 and 9,700.13

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Solution

The fourth proportional to 16,414.19, 22,650.76 and 9,700.13 is: 13,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.19 : 22,650.76 = 9,700.13 : x
  2. Step 2: Convert to fraction form
    16,414.19/22,650.76 = 9,700.13/x
  3. Step 3: Cross multiply
    16,414.19x = 22,650.76 × 9,700.13
  4. Step 4: Simplify right side
    16,414.19x = 219,715,316.60
  5. Step 5: Solve for x
    x = 219,715,316.60/16,414.19
  6. Step 6: Final answer
    x = 13,385.69

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