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Finding the Fourth Proportional to 24,157.50, 36,255.87 and 12,474.06

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Solution

The fourth proportional to 24,157.50, 36,255.87 and 12,474.06 is: 18,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157.50 : 36,255.87 = 12,474.06 : x
  2. Step 2: Convert to fraction form
    24,157.50/36,255.87 = 12,474.06/x
  3. Step 3: Cross multiply
    24,157.50x = 36,255.87 × 12,474.06
  4. Step 4: Simplify right side
    24,157.50x = 452,257,897.73
  5. Step 5: Solve for x
    x = 452,257,897.73/24,157.50
  6. Step 6: Final answer
    x = 18,721.22

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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.