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Finding the Fourth Proportional to 18,205.20, 27,307.20 and 5,724.96

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Solution

The fourth proportional to 18,205.20, 27,307.20 and 5,724.96 is: 8,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.20 : 27,307.20 = 5,724.96 : x
  2. Step 2: Convert to fraction form
    18,205.20/27,307.20 = 5,724.96/x
  3. Step 3: Cross multiply
    18,205.20x = 27,307.20 × 5,724.96
  4. Step 4: Simplify right side
    18,205.20x = 156,332,627.71
  5. Step 5: Solve for x
    x = 156,332,627.71/18,205.20
  6. Step 6: Final answer
    x = 8,587.25

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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.