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Finding the Fourth Proportional to 24,278.18, 36,387.02 and 8,678.66

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Solution

The fourth proportional to 24,278.18, 36,387.02 and 8,678.66 is: 13,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.18 : 36,387.02 = 8,678.66 : x
  2. Step 2: Convert to fraction form
    24,278.18/36,387.02 = 8,678.66/x
  3. Step 3: Cross multiply
    24,278.18x = 36,387.02 × 8,678.66
  4. Step 4: Simplify right side
    24,278.18x = 315,790,574.99
  5. Step 5: Solve for x
    x = 315,790,574.99/24,278.18
  6. Step 6: Final answer
    x = 13,007.18

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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.