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Finding the Fourth Proportional to 16,426.38, 24,639.68 and 6,038.13

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Solution

The fourth proportional to 16,426.38, 24,639.68 and 6,038.13 is: 9,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426.38 : 24,639.68 = 6,038.13 : x
  2. Step 2: Convert to fraction form
    16,426.38/24,639.68 = 6,038.13/x
  3. Step 3: Cross multiply
    16,426.38x = 24,639.68 × 6,038.13
  4. Step 4: Simplify right side
    16,426.38x = 148,777,591.00
  5. Step 5: Solve for x
    x = 148,777,591.00/16,426.38
  6. Step 6: Final answer
    x = 9,057.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.