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Finding the Fourth Proportional to 31,471.14, 43,430.22 and 17,324.04

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Solution

The fourth proportional to 31,471.14, 43,430.22 and 17,324.04 is: 23,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.14 : 43,430.22 = 17,324.04 : x
  2. Step 2: Convert to fraction form
    31,471.14/43,430.22 = 17,324.04/x
  3. Step 3: Cross multiply
    31,471.14x = 43,430.22 × 17,324.04
  4. Step 4: Simplify right side
    31,471.14x = 752,386,868.49
  5. Step 5: Solve for x
    x = 752,386,868.49/31,471.14
  6. Step 6: Final answer
    x = 23,907.20

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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.