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Finding the Fourth Proportional to 27,176.63, 40,759.73 and 8,456.90

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Solution

The fourth proportional to 27,176.63, 40,759.73 and 8,456.90 is: 12,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,176.63 : 40,759.73 = 8,456.90 : x
  2. Step 2: Convert to fraction form
    27,176.63/40,759.73 = 8,456.90/x
  3. Step 3: Cross multiply
    27,176.63x = 40,759.73 × 8,456.90
  4. Step 4: Simplify right side
    27,176.63x = 344,700,714.55
  5. Step 5: Solve for x
    x = 344,700,714.55/27,176.63
  6. Step 6: Final answer
    x = 12,683.72

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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.