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Finding the Fourth Proportional to 27,854.71, 41,794.82 and 12,064.57

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Solution

The fourth proportional to 27,854.71, 41,794.82 and 12,064.57 is: 18,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.71 : 41,794.82 = 12,064.57 : x
  2. Step 2: Convert to fraction form
    27,854.71/41,794.82 = 12,064.57/x
  3. Step 3: Cross multiply
    27,854.71x = 41,794.82 × 12,064.57
  4. Step 4: Simplify right side
    27,854.71x = 504,236,411.96
  5. Step 5: Solve for x
    x = 504,236,411.96/27,854.71
  6. Step 6: Final answer
    x = 18,102.38

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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.