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Finding the Fourth Proportional to 16,414.53, 22,646.43 and 9,339.18

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Solution

The fourth proportional to 16,414.53, 22,646.43 and 9,339.18 is: 12,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.53 : 22,646.43 = 9,339.18 : x
  2. Step 2: Convert to fraction form
    16,414.53/22,646.43 = 9,339.18/x
  3. Step 3: Cross multiply
    16,414.53x = 22,646.43 × 9,339.18
  4. Step 4: Simplify right side
    16,414.53x = 211,499,086.13
  5. Step 5: Solve for x
    x = 211,499,086.13/16,414.53
  6. Step 6: Final answer
    x = 12,884.87

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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.