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Finding the Fourth Proportional to 24,561.78, 36,811.86 and 10,505.31

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Solution

The fourth proportional to 24,561.78, 36,811.86 and 10,505.31 is: 15,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.78 : 36,811.86 = 10,505.31 : x
  2. Step 2: Convert to fraction form
    24,561.78/36,811.86 = 10,505.31/x
  3. Step 3: Cross multiply
    24,561.78x = 36,811.86 × 10,505.31
  4. Step 4: Simplify right side
    24,561.78x = 386,720,000.98
  5. Step 5: Solve for x
    x = 386,720,000.98/24,561.78
  6. Step 6: Final answer
    x = 15,744.79

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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.