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Finding the Fourth Proportional to 24,493.68, 36,730.14 and 8,702.66

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Solution

The fourth proportional to 24,493.68, 36,730.14 and 8,702.66 is: 13,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.68 : 36,730.14 = 8,702.66 : x
  2. Step 2: Convert to fraction form
    24,493.68/36,730.14 = 8,702.66/x
  3. Step 3: Cross multiply
    24,493.68x = 36,730.14 × 8,702.66
  4. Step 4: Simplify right side
    24,493.68x = 319,649,736.52
  5. Step 5: Solve for x
    x = 319,649,736.52/24,493.68
  6. Step 6: Final answer
    x = 13,050.29

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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.