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Finding the Fourth Proportional to 22,610.62, 31,200.96 and 12,538.09

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Solution

The fourth proportional to 22,610.62, 31,200.96 and 12,538.09 is: 17,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,610.62 : 31,200.96 = 12,538.09 : x
  2. Step 2: Convert to fraction form
    22,610.62/31,200.96 = 12,538.09/x
  3. Step 3: Cross multiply
    22,610.62x = 31,200.96 × 12,538.09
  4. Step 4: Simplify right side
    22,610.62x = 391,200,444.57
  5. Step 5: Solve for x
    x = 391,200,444.57/22,610.62
  6. Step 6: Final answer
    x = 17,301.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.