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Finding the Fourth Proportional to 20,854.98, 31,253.22 and 9,735.30

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Solution

The fourth proportional to 20,854.98, 31,253.22 and 9,735.30 is: 14,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.98 : 31,253.22 = 9,735.30 : x
  2. Step 2: Convert to fraction form
    20,854.98/31,253.22 = 9,735.30/x
  3. Step 3: Cross multiply
    20,854.98x = 31,253.22 × 9,735.30
  4. Step 4: Simplify right side
    20,854.98x = 304,259,472.67
  5. Step 5: Solve for x
    x = 304,259,472.67/20,854.98
  6. Step 6: Final answer
    x = 14,589.30

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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.