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Finding the Fourth Proportional to 10,234.68, 15,386.24 and 8,399.40

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Solution

The fourth proportional to 10,234.68, 15,386.24 and 8,399.40 is: 12,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.68 : 15,386.24 = 8,399.40 : x
  2. Step 2: Convert to fraction form
    10,234.68/15,386.24 = 8,399.40/x
  3. Step 3: Cross multiply
    10,234.68x = 15,386.24 × 8,399.40
  4. Step 4: Simplify right side
    10,234.68x = 129,235,184.26
  5. Step 5: Solve for x
    x = 129,235,184.26/10,234.68
  6. Step 6: Final answer
    x = 12,627.18

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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.