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Finding the Fourth Proportional to 10,230.68, 15,339.19 and 8,258.74

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Solution

The fourth proportional to 10,230.68, 15,339.19 and 8,258.74 is: 12,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.68 : 15,339.19 = 8,258.74 : x
  2. Step 2: Convert to fraction form
    10,230.68/15,339.19 = 8,258.74/x
  3. Step 3: Cross multiply
    10,230.68x = 15,339.19 × 8,258.74
  4. Step 4: Simplify right side
    10,230.68x = 126,682,382.02
  5. Step 5: Solve for x
    x = 126,682,382.02/10,230.68
  6. Step 6: Final answer
    x = 12,382.60

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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.