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Finding the Fourth Proportional to 27,741.50, 38,283.41 and 15,166.25

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Solution

The fourth proportional to 27,741.50, 38,283.41 and 15,166.25 is: 20,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,741.50 : 38,283.41 = 15,166.25 : x
  2. Step 2: Convert to fraction form
    27,741.50/38,283.41 = 15,166.25/x
  3. Step 3: Cross multiply
    27,741.50x = 38,283.41 × 15,166.25
  4. Step 4: Simplify right side
    27,741.50x = 580,615,691.08
  5. Step 5: Solve for x
    x = 580,615,691.08/27,741.50
  6. Step 6: Final answer
    x = 20,929.50

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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.