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Finding the Fourth Proportional to 20,753.67, 31,141.44 and 9,053.22

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Solution

The fourth proportional to 20,753.67, 31,141.44 and 9,053.22 is: 13,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,753.67 : 31,141.44 = 9,053.22 : x
  2. Step 2: Convert to fraction form
    20,753.67/31,141.44 = 9,053.22/x
  3. Step 3: Cross multiply
    20,753.67x = 31,141.44 × 9,053.22
  4. Step 4: Simplify right side
    20,753.67x = 281,930,307.44
  5. Step 5: Solve for x
    x = 281,930,307.44/20,753.67
  6. Step 6: Final answer
    x = 13,584.60

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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.