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Finding the Fourth Proportional to 24,500.52, 36,748.26 and 7,872.48

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Solution

The fourth proportional to 24,500.52, 36,748.26 and 7,872.48 is: 11,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500.52 : 36,748.26 = 7,872.48 : x
  2. Step 2: Convert to fraction form
    24,500.52/36,748.26 = 7,872.48/x
  3. Step 3: Cross multiply
    24,500.52x = 36,748.26 × 7,872.48
  4. Step 4: Simplify right side
    24,500.52x = 289,299,941.88
  5. Step 5: Solve for x
    x = 289,299,941.88/24,500.52
  6. Step 6: Final answer
    x = 11,807.91

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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.