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Finding the Fourth Proportional to 24,609.12, 36,924.48 and 9,031.20

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Solution

The fourth proportional to 24,609.12, 36,924.48 and 9,031.20 is: 13,550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,609.12 : 36,924.48 = 9,031.20 : x
  2. Step 2: Convert to fraction form
    24,609.12/36,924.48 = 9,031.20/x
  3. Step 3: Cross multiply
    24,609.12x = 36,924.48 × 9,031.20
  4. Step 4: Simplify right side
    24,609.12x = 333,472,363.78
  5. Step 5: Solve for x
    x = 333,472,363.78/24,609.12
  6. Step 6: Final answer
    x = 13,550.76

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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.