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Finding the Fourth Proportional to 16,097.13, 24,155.28 and 6,863.13

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Solution

The fourth proportional to 16,097.13, 24,155.28 and 6,863.13 is: 10,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.13 : 24,155.28 = 6,863.13 : x
  2. Step 2: Convert to fraction form
    16,097.13/24,155.28 = 6,863.13/x
  3. Step 3: Cross multiply
    16,097.13x = 24,155.28 × 6,863.13
  4. Step 4: Simplify right side
    16,097.13x = 165,780,826.83
  5. Step 5: Solve for x
    x = 165,780,826.83/16,097.13
  6. Step 6: Final answer
    x = 10,298.78

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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.