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Finding the Fourth Proportional to 27,789.50, 38,349.52 and 15,214.26

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Solution

The fourth proportional to 27,789.50, 38,349.52 and 15,214.26 is: 20,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789.50 : 38,349.52 = 15,214.26 : x
  2. Step 2: Convert to fraction form
    27,789.50/38,349.52 = 15,214.26/x
  3. Step 3: Cross multiply
    27,789.50x = 38,349.52 × 15,214.26
  4. Step 4: Simplify right side
    27,789.50x = 583,459,568.16
  5. Step 5: Solve for x
    x = 583,459,568.16/27,789.50
  6. Step 6: Final answer
    x = 20,995.68

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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.