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Finding the Fourth Proportional to 18,280.40, 27,414.20 and 9,512.40

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Solution

The fourth proportional to 18,280.40, 27,414.20 and 9,512.40 is: 14,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280.40 : 27,414.20 = 9,512.40 : x
  2. Step 2: Convert to fraction form
    18,280.40/27,414.20 = 9,512.40/x
  3. Step 3: Cross multiply
    18,280.40x = 27,414.20 × 9,512.40
  4. Step 4: Simplify right side
    18,280.40x = 260,774,836.08
  5. Step 5: Solve for x
    x = 260,774,836.08/18,280.40
  6. Step 6: Final answer
    x = 14,265.27

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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.