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Finding the Fourth Proportional to 24,589.40, 36,884.06 and 6,121.40

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Solution

The fourth proportional to 24,589.40, 36,884.06 and 6,121.40 is: 9,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589.40 : 36,884.06 = 6,121.40 : x
  2. Step 2: Convert to fraction form
    24,589.40/36,884.06 = 6,121.40/x
  3. Step 3: Cross multiply
    24,589.40x = 36,884.06 × 6,121.40
  4. Step 4: Simplify right side
    24,589.40x = 225,782,084.88
  5. Step 5: Solve for x
    x = 225,782,084.88/24,589.40
  6. Step 6: Final answer
    x = 9,182.09

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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.