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Finding the Fourth Proportional to 31,009.82, 42,797.16 and 17,401.61

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Solution

The fourth proportional to 31,009.82, 42,797.16 and 17,401.61 is: 24,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.82 : 42,797.16 = 17,401.61 : x
  2. Step 2: Convert to fraction form
    31,009.82/42,797.16 = 17,401.61/x
  3. Step 3: Cross multiply
    31,009.82x = 42,797.16 × 17,401.61
  4. Step 4: Simplify right side
    31,009.82x = 744,739,487.43
  5. Step 5: Solve for x
    x = 744,739,487.43/31,009.82
  6. Step 6: Final answer
    x = 24,016.25

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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.