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Finding the Fourth Proportional to 24,538.95, 36,819.34 and 8,952.93

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Solution

The fourth proportional to 24,538.95, 36,819.34 and 8,952.93 is: 13,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.95 : 36,819.34 = 8,952.93 : x
  2. Step 2: Convert to fraction form
    24,538.95/36,819.34 = 8,952.93/x
  3. Step 3: Cross multiply
    24,538.95x = 36,819.34 × 8,952.93
  4. Step 4: Simplify right side
    24,538.95x = 329,640,789.57
  5. Step 5: Solve for x
    x = 329,640,789.57/24,538.95
  6. Step 6: Final answer
    x = 13,433.37

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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.