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Finding the Fourth Proportional to 22,616.80, 31,213.09 and 12,548.47

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Solution

The fourth proportional to 22,616.80, 31,213.09 and 12,548.47 is: 17,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.80 : 31,213.09 = 12,548.47 : x
  2. Step 2: Convert to fraction form
    22,616.80/31,213.09 = 12,548.47/x
  3. Step 3: Cross multiply
    22,616.80x = 31,213.09 × 12,548.47
  4. Step 4: Simplify right side
    22,616.80x = 391,676,523.47
  5. Step 5: Solve for x
    x = 391,676,523.47/22,616.80
  6. Step 6: Final answer
    x = 17,317.95

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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.