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Finding the Fourth Proportional to 10,229.64, 15,346.70 and 3,304.20

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Solution

The fourth proportional to 10,229.64, 15,346.70 and 3,304.20 is: 4,957.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.64 : 15,346.70 = 3,304.20 : x
  2. Step 2: Convert to fraction form
    10,229.64/15,346.70 = 3,304.20/x
  3. Step 3: Cross multiply
    10,229.64x = 15,346.70 × 3,304.20
  4. Step 4: Simplify right side
    10,229.64x = 50,708,566.14
  5. Step 5: Solve for x
    x = 50,708,566.14/10,229.64
  6. Step 6: Final answer
    x = 4,957.02

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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.