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Finding the Fourth Proportional to 10,218.92, 15,328.98 and 3,200.24

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Solution

The fourth proportional to 10,218.92, 15,328.98 and 3,200.24 is: 4,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.92 : 15,328.98 = 3,200.24 : x
  2. Step 2: Convert to fraction form
    10,218.92/15,328.98 = 3,200.24/x
  3. Step 3: Cross multiply
    10,218.92x = 15,328.98 × 3,200.24
  4. Step 4: Simplify right side
    10,218.92x = 49,056,414.96
  5. Step 5: Solve for x
    x = 49,056,414.96/10,218.92
  6. Step 6: Final answer
    x = 4,800.55

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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.