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Finding the Fourth Proportional to 24,279.52, 36,445.20 and 10,438.24

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Solution

The fourth proportional to 24,279.52, 36,445.20 and 10,438.24 is: 15,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,279.52 : 36,445.20 = 10,438.24 : x
  2. Step 2: Convert to fraction form
    24,279.52/36,445.20 = 10,438.24/x
  3. Step 3: Cross multiply
    24,279.52x = 36,445.20 × 10,438.24
  4. Step 4: Simplify right side
    24,279.52x = 380,423,744.45
  5. Step 5: Solve for x
    x = 380,423,744.45/24,279.52
  6. Step 6: Final answer
    x = 15,668.50

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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.