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Finding the Fourth Proportional to 20,229.54, 30,346.13 and 6,898.02

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Solution

The fourth proportional to 20,229.54, 30,346.13 and 6,898.02 is: 10,347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.54 : 30,346.13 = 6,898.02 : x
  2. Step 2: Convert to fraction form
    20,229.54/30,346.13 = 6,898.02/x
  3. Step 3: Cross multiply
    20,229.54x = 30,346.13 × 6,898.02
  4. Step 4: Simplify right side
    20,229.54x = 209,328,211.66
  5. Step 5: Solve for x
    x = 209,328,211.66/20,229.54
  6. Step 6: Final answer
    x = 10,347.65

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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.