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Finding the Fourth Proportional to 27,856.68, 38,416.52 and 25,844.64

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Solution

The fourth proportional to 27,856.68, 38,416.52 and 25,844.64 is: 35,641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.68 : 38,416.52 = 25,844.64 : x
  2. Step 2: Convert to fraction form
    27,856.68/38,416.52 = 25,844.64/x
  3. Step 3: Cross multiply
    27,856.68x = 38,416.52 × 25,844.64
  4. Step 4: Simplify right side
    27,856.68x = 992,861,129.45
  5. Step 5: Solve for x
    x = 992,861,129.45/27,856.68
  6. Step 6: Final answer
    x = 35,641.76

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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.