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Finding the Fourth Proportional to 22,761.88, 31,408.32 and 12,689.83

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Solution

The fourth proportional to 22,761.88, 31,408.32 and 12,689.83 is: 17,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761.88 : 31,408.32 = 12,689.83 : x
  2. Step 2: Convert to fraction form
    22,761.88/31,408.32 = 12,689.83/x
  3. Step 3: Cross multiply
    22,761.88x = 31,408.32 × 12,689.83
  4. Step 4: Simplify right side
    22,761.88x = 398,566,241.39
  5. Step 5: Solve for x
    x = 398,566,241.39/22,761.88
  6. Step 6: Final answer
    x = 17,510.25

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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.