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Finding the Fourth Proportional to 24,147.60, 36,219.12 and 8,564.40

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Solution

The fourth proportional to 24,147.60, 36,219.12 and 8,564.40 is: 12,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.60 : 36,219.12 = 8,564.40 : x
  2. Step 2: Convert to fraction form
    24,147.60/36,219.12 = 8,564.40/x
  3. Step 3: Cross multiply
    24,147.60x = 36,219.12 × 8,564.40
  4. Step 4: Simplify right side
    24,147.60x = 310,195,031.33
  5. Step 5: Solve for x
    x = 310,195,031.33/24,147.60
  6. Step 6: Final answer
    x = 12,845.79

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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.