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Finding the Fourth Proportional to 27,854.16, 41,779.62 and 8,132.28

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Solution

The fourth proportional to 27,854.16, 41,779.62 and 8,132.28 is: 12,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.16 : 41,779.62 = 8,132.28 : x
  2. Step 2: Convert to fraction form
    27,854.16/41,779.62 = 8,132.28/x
  3. Step 3: Cross multiply
    27,854.16x = 41,779.62 × 8,132.28
  4. Step 4: Simplify right side
    27,854.16x = 339,763,568.13
  5. Step 5: Solve for x
    x = 339,763,568.13/27,854.16
  6. Step 6: Final answer
    x = 12,197.95

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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.