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Finding the Fourth Proportional to 10,296.30, 15,432.30 and 9,251.40

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Solution

The fourth proportional to 10,296.30, 15,432.30 and 9,251.40 is: 13,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.30 : 15,432.30 = 9,251.40 : x
  2. Step 2: Convert to fraction form
    10,296.30/15,432.30 = 9,251.40/x
  3. Step 3: Cross multiply
    10,296.30x = 15,432.30 × 9,251.40
  4. Step 4: Simplify right side
    10,296.30x = 142,770,380.22
  5. Step 5: Solve for x
    x = 142,770,380.22/10,296.30
  6. Step 6: Final answer
    x = 13,866.18

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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.