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Finding the Fourth Proportional to 27,928.86, 38,542.14 and 15,182.16

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Solution

The fourth proportional to 27,928.86, 38,542.14 and 15,182.16 is: 20,951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,928.86 : 38,542.14 = 15,182.16 : x
  2. Step 2: Convert to fraction form
    27,928.86/38,542.14 = 15,182.16/x
  3. Step 3: Cross multiply
    27,928.86x = 38,542.14 × 15,182.16
  4. Step 4: Simplify right side
    27,928.86x = 585,152,936.22
  5. Step 5: Solve for x
    x = 585,152,936.22/27,928.86
  6. Step 6: Final answer
    x = 20,951.55

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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.