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Finding the Fourth Proportional to 16,414.90, 22,651.64 and 9,701.15

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Solution

The fourth proportional to 16,414.90, 22,651.64 and 9,701.15 is: 13,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.90 : 22,651.64 = 9,701.15 : x
  2. Step 2: Convert to fraction form
    16,414.90/22,651.64 = 9,701.15/x
  3. Step 3: Cross multiply
    16,414.90x = 22,651.64 × 9,701.15
  4. Step 4: Simplify right side
    16,414.90x = 219,747,041.34
  5. Step 5: Solve for x
    x = 219,747,041.34/16,414.90
  6. Step 6: Final answer
    x = 13,387.04

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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.