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Finding the Fourth Proportional to 22,734, 31,372.92 and 12,798

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Solution

The fourth proportional to 22,734, 31,372.92 and 12,798 is: 17,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,734 : 31,372.92 = 12,798 : x
  2. Step 2: Convert to fraction form
    22,734/31,372.92 = 12,798/x
  3. Step 3: Cross multiply
    22,734x = 31,372.92 × 12,798
  4. Step 4: Simplify right side
    22,734x = 401,510,630.16
  5. Step 5: Solve for x
    x = 401,510,630.16/22,734
  6. Step 6: Final answer
    x = 17,661.24

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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.