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Finding the Fourth Proportional to 27,856.64, 41,794.32 and 10,327.92

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Solution

The fourth proportional to 27,856.64, 41,794.32 and 10,327.92 is: 15,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.64 : 41,794.32 = 10,327.92 : x
  2. Step 2: Convert to fraction form
    27,856.64/41,794.32 = 10,327.92/x
  3. Step 3: Cross multiply
    27,856.64x = 41,794.32 × 10,327.92
  4. Step 4: Simplify right side
    27,856.64x = 431,648,393.41
  5. Step 5: Solve for x
    x = 431,648,393.41/27,856.64
  6. Step 6: Final answer
    x = 15,495.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.