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Finding the Fourth Proportional to 16,966.95, 23,414.37 and 9,892

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Solution

The fourth proportional to 16,966.95, 23,414.37 and 9,892 is: 13,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.95 : 23,414.37 = 9,892 : x
  2. Step 2: Convert to fraction form
    16,966.95/23,414.37 = 9,892/x
  3. Step 3: Cross multiply
    16,966.95x = 23,414.37 × 9,892
  4. Step 4: Simplify right side
    16,966.95x = 231,614,948.04
  5. Step 5: Solve for x
    x = 231,614,948.04/16,966.95
  6. Step 6: Final answer
    x = 13,650.95

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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.