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Finding the Fourth Proportional to 22,616.97, 31,215.16 and 12,548.66

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Solution

The fourth proportional to 22,616.97, 31,215.16 and 12,548.66 is: 17,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.97 : 31,215.16 = 12,548.66 : x
  2. Step 2: Convert to fraction form
    22,616.97/31,215.16 = 12,548.66/x
  3. Step 3: Cross multiply
    22,616.97x = 31,215.16 × 12,548.66
  4. Step 4: Simplify right side
    22,616.97x = 391,708,320.28
  5. Step 5: Solve for x
    x = 391,708,320.28/22,616.97
  6. Step 6: Final answer
    x = 17,319.22

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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.