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Finding the Fourth Proportional to 24,536.72, 36,799.92 and 7,898.24

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Solution

The fourth proportional to 24,536.72, 36,799.92 and 7,898.24 is: 11,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536.72 : 36,799.92 = 7,898.24 : x
  2. Step 2: Convert to fraction form
    24,536.72/36,799.92 = 7,898.24/x
  3. Step 3: Cross multiply
    24,536.72x = 36,799.92 × 7,898.24
  4. Step 4: Simplify right side
    24,536.72x = 290,654,600.14
  5. Step 5: Solve for x
    x = 290,654,600.14/24,536.72
  6. Step 6: Final answer
    x = 11,845.70

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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.