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Finding the Fourth Proportional to 24,186.40, 36,279.60 and 15,438.40

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Solution

The fourth proportional to 24,186.40, 36,279.60 and 15,438.40 is: 23,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186.40 : 36,279.60 = 15,438.40 : x
  2. Step 2: Convert to fraction form
    24,186.40/36,279.60 = 15,438.40/x
  3. Step 3: Cross multiply
    24,186.40x = 36,279.60 × 15,438.40
  4. Step 4: Simplify right side
    24,186.40x = 560,098,976.64
  5. Step 5: Solve for x
    x = 560,098,976.64/24,186.40
  6. Step 6: Final answer
    x = 23,157.60

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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.