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Finding the Fourth Proportional to 10,221.96, 15,332.94 and 3,202.04

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Solution

The fourth proportional to 10,221.96, 15,332.94 and 3,202.04 is: 4,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.96 : 15,332.94 = 3,202.04 : x
  2. Step 2: Convert to fraction form
    10,221.96/15,332.94 = 3,202.04/x
  3. Step 3: Cross multiply
    10,221.96x = 15,332.94 × 3,202.04
  4. Step 4: Simplify right side
    10,221.96x = 49,096,622.54
  5. Step 5: Solve for x
    x = 49,096,622.54/10,221.96
  6. Step 6: Final answer
    x = 4,803.05

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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.