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Finding the Fourth Proportional to 27,566.94, 41,335.20 and 8,586.42

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Solution

The fourth proportional to 27,566.94, 41,335.20 and 8,586.42 is: 12,874.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,566.94 : 41,335.20 = 8,586.42 : x
  2. Step 2: Convert to fraction form
    27,566.94/41,335.20 = 8,586.42/x
  3. Step 3: Cross multiply
    27,566.94x = 41,335.20 × 8,586.42
  4. Step 4: Simplify right side
    27,566.94x = 354,921,387.98
  5. Step 5: Solve for x
    x = 354,921,387.98/27,566.94
  6. Step 6: Final answer
    x = 12,874.89

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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.