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Finding the Fourth Proportional to 22,682.54, 31,294.68 and 13,727.18

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Solution

The fourth proportional to 22,682.54, 31,294.68 and 13,727.18 is: 18,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.54 : 31,294.68 = 13,727.18 : x
  2. Step 2: Convert to fraction form
    22,682.54/31,294.68 = 13,727.18/x
  3. Step 3: Cross multiply
    22,682.54x = 31,294.68 × 13,727.18
  4. Step 4: Simplify right side
    22,682.54x = 429,587,705.40
  5. Step 5: Solve for x
    x = 429,587,705.40/22,682.54
  6. Step 6: Final answer
    x = 18,939.14

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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.