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Finding the Fourth Proportional to 27,789.84, 38,349.90 and 15,214.50

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Solution

The fourth proportional to 27,789.84, 38,349.90 and 15,214.50 is: 20,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789.84 : 38,349.90 = 15,214.50 : x
  2. Step 2: Convert to fraction form
    27,789.84/38,349.90 = 15,214.50/x
  3. Step 3: Cross multiply
    27,789.84x = 38,349.90 × 15,214.50
  4. Step 4: Simplify right side
    27,789.84x = 583,474,553.55
  5. Step 5: Solve for x
    x = 583,474,553.55/27,789.84
  6. Step 6: Final answer
    x = 20,995.97

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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.