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Finding the Fourth Proportional to 27,085.74, 37,378.71 and 15,149.58

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Solution

The fourth proportional to 27,085.74, 37,378.71 and 15,149.58 is: 20,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,085.74 : 37,378.71 = 15,149.58 : x
  2. Step 2: Convert to fraction form
    27,085.74/37,378.71 = 15,149.58/x
  3. Step 3: Cross multiply
    27,085.74x = 37,378.71 × 15,149.58
  4. Step 4: Simplify right side
    27,085.74x = 566,271,757.44
  5. Step 5: Solve for x
    x = 566,271,757.44/27,085.74
  6. Step 6: Final answer
    x = 20,906.64

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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.