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Finding the Fourth Proportional to 24,217.72, 36,326.52 and 6,687.50

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Solution

The fourth proportional to 24,217.72, 36,326.52 and 6,687.50 is: 10,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217.72 : 36,326.52 = 6,687.50 : x
  2. Step 2: Convert to fraction form
    24,217.72/36,326.52 = 6,687.50/x
  3. Step 3: Cross multiply
    24,217.72x = 36,326.52 × 6,687.50
  4. Step 4: Simplify right side
    24,217.72x = 242,933,420.87
  5. Step 5: Solve for x
    x = 242,933,420.87/24,217.72
  6. Step 6: Final answer
    x = 10,031.23

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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.