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Finding the Fourth Proportional to 10,232.68, 15,383.24 and 8,397.40

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Solution

The fourth proportional to 10,232.68, 15,383.24 and 8,397.40 is: 12,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.68 : 15,383.24 = 8,397.40 : x
  2. Step 2: Convert to fraction form
    10,232.68/15,383.24 = 8,397.40/x
  3. Step 3: Cross multiply
    10,232.68x = 15,383.24 × 8,397.40
  4. Step 4: Simplify right side
    10,232.68x = 129,179,219.58
  5. Step 5: Solve for x
    x = 129,179,219.58/10,232.68
  6. Step 6: Final answer
    x = 12,624.18

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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.