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Finding the Fourth Proportional to 24,561.65, 36,820.59 and 11,406.85

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Solution

The fourth proportional to 24,561.65, 36,820.59 and 11,406.85 is: 17,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.65 : 36,820.59 = 11,406.85 : x
  2. Step 2: Convert to fraction form
    24,561.65/36,820.59 = 11,406.85/x
  3. Step 3: Cross multiply
    24,561.65x = 36,820.59 × 11,406.85
  4. Step 4: Simplify right side
    24,561.65x = 420,006,947.04
  5. Step 5: Solve for x
    x = 420,006,947.04/24,561.65
  6. Step 6: Final answer
    x = 17,100.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.