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Finding the Fourth Proportional to 24,468.72, 36,705.51 and 7,824.57

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Solution

The fourth proportional to 24,468.72, 36,705.51 and 7,824.57 is: 11,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468.72 : 36,705.51 = 7,824.57 : x
  2. Step 2: Convert to fraction form
    24,468.72/36,705.51 = 7,824.57/x
  3. Step 3: Cross multiply
    24,468.72x = 36,705.51 × 7,824.57
  4. Step 4: Simplify right side
    24,468.72x = 287,204,832.38
  5. Step 5: Solve for x
    x = 287,204,832.38/24,468.72
  6. Step 6: Final answer
    x = 11,737.63

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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.