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Finding the Fourth Proportional to 27,856.52, 38,442.80 and 15,282.08

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Solution

The fourth proportional to 27,856.52, 38,442.80 and 15,282.08 is: 21,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.52 : 38,442.80 = 15,282.08 : x
  2. Step 2: Convert to fraction form
    27,856.52/38,442.80 = 15,282.08/x
  3. Step 3: Cross multiply
    27,856.52x = 38,442.80 × 15,282.08
  4. Step 4: Simplify right side
    27,856.52x = 587,485,945.02
  5. Step 5: Solve for x
    x = 587,485,945.02/27,856.52
  6. Step 6: Final answer
    x = 21,089.71

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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.