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Finding the Fourth Proportional to 24,017.13, 36,042.10 and 8,434.76

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Solution

The fourth proportional to 24,017.13, 36,042.10 and 8,434.76 is: 12,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.13 : 36,042.10 = 8,434.76 : x
  2. Step 2: Convert to fraction form
    24,017.13/36,042.10 = 8,434.76/x
  3. Step 3: Cross multiply
    24,017.13x = 36,042.10 × 8,434.76
  4. Step 4: Simplify right side
    24,017.13x = 304,006,399.05
  5. Step 5: Solve for x
    x = 304,006,399.05/24,017.13
  6. Step 6: Final answer
    x = 12,657.90

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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.