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Finding the Fourth Proportional to 22,682.61, 31,302.12 and 13,727.87

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Solution

The fourth proportional to 22,682.61, 31,302.12 and 13,727.87 is: 18,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.61 : 31,302.12 = 13,727.87 : x
  2. Step 2: Convert to fraction form
    22,682.61/31,302.12 = 13,727.87/x
  3. Step 3: Cross multiply
    22,682.61x = 31,302.12 × 13,727.87
  4. Step 4: Simplify right side
    22,682.61x = 429,711,363.81
  5. Step 5: Solve for x
    x = 429,711,363.81/22,682.61
  6. Step 6: Final answer
    x = 18,944.53

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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.