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Finding the Fourth Proportional to 20,473.38, 30,714.75 and 7,146.90

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Solution

The fourth proportional to 20,473.38, 30,714.75 and 7,146.90 is: 10,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.38 : 30,714.75 = 7,146.90 : x
  2. Step 2: Convert to fraction form
    20,473.38/30,714.75 = 7,146.90/x
  3. Step 3: Cross multiply
    20,473.38x = 30,714.75 × 7,146.90
  4. Step 4: Simplify right side
    20,473.38x = 219,515,246.78
  5. Step 5: Solve for x
    x = 219,515,246.78/20,473.38
  6. Step 6: Final answer
    x = 10,721.98

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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.