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Finding the Fourth Proportional to 22,610.14, 31,166.02 and 17,822.31

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Solution

The fourth proportional to 22,610.14, 31,166.02 and 17,822.31 is: 24,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,610.14 : 31,166.02 = 17,822.31 : x
  2. Step 2: Convert to fraction form
    22,610.14/31,166.02 = 17,822.31/x
  3. Step 3: Cross multiply
    22,610.14x = 31,166.02 × 17,822.31
  4. Step 4: Simplify right side
    22,610.14x = 555,450,600.75
  5. Step 5: Solve for x
    x = 555,450,600.75/22,610.14
  6. Step 6: Final answer
    x = 24,566.44

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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.