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Finding the Fourth Proportional to 27,789.78, 38,348.76 and 15,214.50

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Solution

The fourth proportional to 27,789.78, 38,348.76 and 15,214.50 is: 20,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789.78 : 38,348.76 = 15,214.50 : x
  2. Step 2: Convert to fraction form
    27,789.78/38,348.76 = 15,214.50/x
  3. Step 3: Cross multiply
    27,789.78x = 38,348.76 × 15,214.50
  4. Step 4: Simplify right side
    27,789.78x = 583,457,209.02
  5. Step 5: Solve for x
    x = 583,457,209.02/27,789.78
  6. Step 6: Final answer
    x = 20,995.39

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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.