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Finding the Fourth Proportional to 31,406.33, 43,340.24 and 17,258.87

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Solution

The fourth proportional to 31,406.33, 43,340.24 and 17,258.87 is: 23,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.33 : 43,340.24 = 17,258.87 : x
  2. Step 2: Convert to fraction form
    31,406.33/43,340.24 = 17,258.87/x
  3. Step 3: Cross multiply
    31,406.33x = 43,340.24 × 17,258.87
  4. Step 4: Simplify right side
    31,406.33x = 748,003,264.93
  5. Step 5: Solve for x
    x = 748,003,264.93/31,406.33
  6. Step 6: Final answer
    x = 23,816.96

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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.