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Finding the Fourth Proportional to 31,406.62, 43,340.82 and 17,259.16

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Solution

The fourth proportional to 31,406.62, 43,340.82 and 17,259.16 is: 23,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.62 : 43,340.82 = 17,259.16 : x
  2. Step 2: Convert to fraction form
    31,406.62/43,340.82 = 17,259.16/x
  3. Step 3: Cross multiply
    31,406.62x = 43,340.82 × 17,259.16
  4. Step 4: Simplify right side
    31,406.62x = 748,026,146.91
  5. Step 5: Solve for x
    x = 748,026,146.91/31,406.62
  6. Step 6: Final answer
    x = 23,817.47

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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.