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Finding the Fourth Proportional to 31,442.64, 43,391.92 and 17,296.08

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Solution

The fourth proportional to 31,442.64, 43,391.92 and 17,296.08 is: 23,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442.64 : 43,391.92 = 17,296.08 : x
  2. Step 2: Convert to fraction form
    31,442.64/43,391.92 = 17,296.08/x
  3. Step 3: Cross multiply
    31,442.64x = 43,391.92 × 17,296.08
  4. Step 4: Simplify right side
    31,442.64x = 750,510,119.67
  5. Step 5: Solve for x
    x = 750,510,119.67/31,442.64
  6. Step 6: Final answer
    x = 23,869.18

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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.