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Finding the Fourth Proportional to 10,219.92, 15,330.48 and 3,201.24

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Solution

The fourth proportional to 10,219.92, 15,330.48 and 3,201.24 is: 4,802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.92 : 15,330.48 = 3,201.24 : x
  2. Step 2: Convert to fraction form
    10,219.92/15,330.48 = 3,201.24/x
  3. Step 3: Cross multiply
    10,219.92x = 15,330.48 × 3,201.24
  4. Step 4: Simplify right side
    10,219.92x = 49,076,545.80
  5. Step 5: Solve for x
    x = 49,076,545.80/10,219.92
  6. Step 6: Final answer
    x = 4,802.05

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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.