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Finding the Fourth Proportional to 24,561.62, 36,811.61 and 10,505.12

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Solution

The fourth proportional to 24,561.62, 36,811.61 and 10,505.12 is: 15,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.62 : 36,811.61 = 10,505.12 : x
  2. Step 2: Convert to fraction form
    24,561.62/36,811.61 = 10,505.12/x
  3. Step 3: Cross multiply
    24,561.62x = 36,811.61 × 10,505.12
  4. Step 4: Simplify right side
    24,561.62x = 386,710,327.92
  5. Step 5: Solve for x
    x = 386,710,327.92/24,561.62
  6. Step 6: Final answer
    x = 15,744.50

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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.