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Finding the Fourth Proportional to 19,822.20, 29,691.90 and 9,301.20

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Solution

The fourth proportional to 19,822.20, 29,691.90 and 9,301.20 is: 13,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.20 : 29,691.90 = 9,301.20 : x
  2. Step 2: Convert to fraction form
    19,822.20/29,691.90 = 9,301.20/x
  3. Step 3: Cross multiply
    19,822.20x = 29,691.90 × 9,301.20
  4. Step 4: Simplify right side
    19,822.20x = 276,170,300.28
  5. Step 5: Solve for x
    x = 276,170,300.28/19,822.20
  6. Step 6: Final answer
    x = 13,932.37

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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.