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Finding the Fourth Proportional to 27,852.64, 41,779.16 and 8,144.94

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Solution

The fourth proportional to 27,852.64, 41,779.16 and 8,144.94 is: 12,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.64 : 41,779.16 = 8,144.94 : x
  2. Step 2: Convert to fraction form
    27,852.64/41,779.16 = 8,144.94/x
  3. Step 3: Cross multiply
    27,852.64x = 41,779.16 × 8,144.94
  4. Step 4: Simplify right side
    27,852.64x = 340,288,751.45
  5. Step 5: Solve for x
    x = 340,288,751.45/27,852.64
  6. Step 6: Final answer
    x = 12,217.47

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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.