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Finding the Fourth Proportional to 16,414.81, 22,652.42 and 9,702.86

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Solution

The fourth proportional to 16,414.81, 22,652.42 and 9,702.86 is: 13,389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.81 : 22,652.42 = 9,702.86 : x
  2. Step 2: Convert to fraction form
    16,414.81/22,652.42 = 9,702.86/x
  3. Step 3: Cross multiply
    16,414.81x = 22,652.42 × 9,702.86
  4. Step 4: Simplify right side
    16,414.81x = 219,793,098.14
  5. Step 5: Solve for x
    x = 219,793,098.14/16,414.81
  6. Step 6: Final answer
    x = 13,389.93

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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.