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Finding the Fourth Proportional to 24,200.70, 36,279.45 and 9,404.70

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Solution

The fourth proportional to 24,200.70, 36,279.45 and 9,404.70 is: 14,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.70 : 36,279.45 = 9,404.70 : x
  2. Step 2: Convert to fraction form
    24,200.70/36,279.45 = 9,404.70/x
  3. Step 3: Cross multiply
    24,200.70x = 36,279.45 × 9,404.70
  4. Step 4: Simplify right side
    24,200.70x = 341,197,343.42
  5. Step 5: Solve for x
    x = 341,197,343.42/24,200.70
  6. Step 6: Final answer
    x = 14,098.66

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1.5x scale

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.