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Finding the Fourth Proportional to 24,031.65, 36,052.44 and 8,237.88

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Solution

The fourth proportional to 24,031.65, 36,052.44 and 8,237.88 is: 12,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,031.65 : 36,052.44 = 8,237.88 : x
  2. Step 2: Convert to fraction form
    24,031.65/36,052.44 = 8,237.88/x
  3. Step 3: Cross multiply
    24,031.65x = 36,052.44 × 8,237.88
  4. Step 4: Simplify right side
    24,031.65x = 296,995,674.43
  5. Step 5: Solve for x
    x = 296,995,674.43/24,031.65
  6. Step 6: Final answer
    x = 12,358.52

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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.