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Finding the Fourth Proportional to 27,278.52, 37,645.91 and 18,188.20

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Solution

The fourth proportional to 27,278.52, 37,645.91 and 18,188.20 is: 25,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,278.52 : 37,645.91 = 18,188.20 : x
  2. Step 2: Convert to fraction form
    27,278.52/37,645.91 = 18,188.20/x
  3. Step 3: Cross multiply
    27,278.52x = 37,645.91 × 18,188.20
  4. Step 4: Simplify right side
    27,278.52x = 684,711,340.26
  5. Step 5: Solve for x
    x = 684,711,340.26/27,278.52
  6. Step 6: Final answer
    x = 25,100.75

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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.