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Finding the Fourth Proportional to 24,290.50, 36,435.75 and 9,489.04

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Solution

The fourth proportional to 24,290.50, 36,435.75 and 9,489.04 is: 14,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,290.50 : 36,435.75 = 9,489.04 : x
  2. Step 2: Convert to fraction form
    24,290.50/36,435.75 = 9,489.04/x
  3. Step 3: Cross multiply
    24,290.50x = 36,435.75 × 9,489.04
  4. Step 4: Simplify right side
    24,290.50x = 345,740,059.56
  5. Step 5: Solve for x
    x = 345,740,059.56/24,290.50
  6. Step 6: Final answer
    x = 14,233.55

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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.