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Finding the Fourth Proportional to 24,759.92, 37,143.19 and 7,229.50

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Solution

The fourth proportional to 24,759.92, 37,143.19 and 7,229.50 is: 10,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,759.92 : 37,143.19 = 7,229.50 : x
  2. Step 2: Convert to fraction form
    24,759.92/37,143.19 = 7,229.50/x
  3. Step 3: Cross multiply
    24,759.92x = 37,143.19 × 7,229.50
  4. Step 4: Simplify right side
    24,759.92x = 268,526,692.11
  5. Step 5: Solve for x
    x = 268,526,692.11/24,759.92
  6. Step 6: Final answer
    x = 10,845.22

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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.