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Finding the Fourth Proportional to 27,602.70, 38,091.87 and 15,027.54

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Solution

The fourth proportional to 27,602.70, 38,091.87 and 15,027.54 is: 20,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.70 : 38,091.87 = 15,027.54 : x
  2. Step 2: Convert to fraction form
    27,602.70/38,091.87 = 15,027.54/x
  3. Step 3: Cross multiply
    27,602.70x = 38,091.87 × 15,027.54
  4. Step 4: Simplify right side
    27,602.70x = 572,427,100.10
  5. Step 5: Solve for x
    x = 572,427,100.10/27,602.70
  6. Step 6: Final answer
    x = 20,738.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.