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Finding the Fourth Proportional to 16,862.13, 25,298.73 and 8,097.75

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Solution

The fourth proportional to 16,862.13, 25,298.73 and 8,097.75 is: 12,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,862.13 : 25,298.73 = 8,097.75 : x
  2. Step 2: Convert to fraction form
    16,862.13/25,298.73 = 8,097.75/x
  3. Step 3: Cross multiply
    16,862.13x = 25,298.73 × 8,097.75
  4. Step 4: Simplify right side
    16,862.13x = 204,862,790.86
  5. Step 5: Solve for x
    x = 204,862,790.86/16,862.13
  6. Step 6: Final answer
    x = 12,149.28

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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.