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Finding the Fourth Proportional to 27,726.59, 41,577.52 and 8,000.46

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Solution

The fourth proportional to 27,726.59, 41,577.52 and 8,000.46 is: 11,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726.59 : 41,577.52 = 8,000.46 : x
  2. Step 2: Convert to fraction form
    27,726.59/41,577.52 = 8,000.46/x
  3. Step 3: Cross multiply
    27,726.59x = 41,577.52 × 8,000.46
  4. Step 4: Simplify right side
    27,726.59x = 332,639,285.66
  5. Step 5: Solve for x
    x = 332,639,285.66/27,726.59
  6. Step 6: Final answer
    x = 11,997.12

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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.