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Finding the Fourth Proportional to 27,508.50, 37,984.95 and 17,454.78

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Solution

The fourth proportional to 27,508.50, 37,984.95 and 17,454.78 is: 24,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,508.50 : 37,984.95 = 17,454.78 : x
  2. Step 2: Convert to fraction form
    27,508.50/37,984.95 = 17,454.78/x
  3. Step 3: Cross multiply
    27,508.50x = 37,984.95 × 17,454.78
  4. Step 4: Simplify right side
    27,508.50x = 663,018,945.56
  5. Step 5: Solve for x
    x = 663,018,945.56/27,508.50
  6. Step 6: Final answer
    x = 24,102.33

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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.