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Finding the Fourth Proportional to 24,507.56, 36,748.38 and 10,649

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Solution

The fourth proportional to 24,507.56, 36,748.38 and 10,649 is: 15,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.56 : 36,748.38 = 10,649 : x
  2. Step 2: Convert to fraction form
    24,507.56/36,748.38 = 10,649/x
  3. Step 3: Cross multiply
    24,507.56x = 36,748.38 × 10,649
  4. Step 4: Simplify right side
    24,507.56x = 391,333,498.62
  5. Step 5: Solve for x
    x = 391,333,498.62/24,507.56
  6. Step 6: Final answer
    x = 15,967.87

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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.