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Finding the Fourth Proportional to 27,776.76, 38,332.56 and 15,201.54

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Solution

The fourth proportional to 27,776.76, 38,332.56 and 15,201.54 is: 20,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.76 : 38,332.56 = 15,201.54 : x
  2. Step 2: Convert to fraction form
    27,776.76/38,332.56 = 15,201.54/x
  3. Step 3: Cross multiply
    27,776.76x = 38,332.56 × 15,201.54
  4. Step 4: Simplify right side
    27,776.76x = 582,713,944.14
  5. Step 5: Solve for x
    x = 582,713,944.14/27,776.76
  6. Step 6: Final answer
    x = 20,978.47

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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.