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Finding the Fourth Proportional to 22,691.16, 31,311.40 and 12,617.97

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Solution

The fourth proportional to 22,691.16, 31,311.40 and 12,617.97 is: 17,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.16 : 31,311.40 = 12,617.97 : x
  2. Step 2: Convert to fraction form
    22,691.16/31,311.40 = 12,617.97/x
  3. Step 3: Cross multiply
    22,691.16x = 31,311.40 × 12,617.97
  4. Step 4: Simplify right side
    22,691.16x = 395,086,305.86
  5. Step 5: Solve for x
    x = 395,086,305.86/22,691.16
  6. Step 6: Final answer
    x = 17,411.46

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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.