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Finding the Fourth Proportional to 24,511.78, 36,773.81 and 6,981.61

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Solution

The fourth proportional to 24,511.78, 36,773.81 and 6,981.61 is: 10,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.78 : 36,773.81 = 6,981.61 : x
  2. Step 2: Convert to fraction form
    24,511.78/36,773.81 = 6,981.61/x
  3. Step 3: Cross multiply
    24,511.78x = 36,773.81 × 6,981.61
  4. Step 4: Simplify right side
    24,511.78x = 256,740,451.71
  5. Step 5: Solve for x
    x = 256,740,451.71/24,511.78
  6. Step 6: Final answer
    x = 10,474.16

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Why These Related Problems?

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