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Finding the Fourth Proportional to 20,897.47, 31,324.15 and 6,853.83

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Solution

The fourth proportional to 20,897.47, 31,324.15 and 6,853.83 is: 10,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.47 : 31,324.15 = 6,853.83 : x
  2. Step 2: Convert to fraction form
    20,897.47/31,324.15 = 6,853.83/x
  3. Step 3: Cross multiply
    20,897.47x = 31,324.15 × 6,853.83
  4. Step 4: Simplify right side
    20,897.47x = 214,690,398.99
  5. Step 5: Solve for x
    x = 214,690,398.99/20,897.47
  6. Step 6: Final answer
    x = 10,273.51

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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.