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Finding the Fourth Proportional to 24,021, 36,031.50 and 8,439.12

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Solution

The fourth proportional to 24,021, 36,031.50 and 8,439.12 is: 12,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,021 : 36,031.50 = 8,439.12 : x
  2. Step 2: Convert to fraction form
    24,021/36,031.50 = 8,439.12/x
  3. Step 3: Cross multiply
    24,021x = 36,031.50 × 8,439.12
  4. Step 4: Simplify right side
    24,021x = 304,074,152.28
  5. Step 5: Solve for x
    x = 304,074,152.28/24,021
  6. Step 6: Final answer
    x = 12,658.68

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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.