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Finding the Fourth Proportional to 27,876.29, 41,817.39 and 8,154.95

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Solution

The fourth proportional to 27,876.29, 41,817.39 and 8,154.95 is: 12,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.29 : 41,817.39 = 8,154.95 : x
  2. Step 2: Convert to fraction form
    27,876.29/41,817.39 = 8,154.95/x
  3. Step 3: Cross multiply
    27,876.29x = 41,817.39 × 8,154.95
  4. Step 4: Simplify right side
    27,876.29x = 341,018,515.49
  5. Step 5: Solve for x
    x = 341,018,515.49/27,876.29
  6. Step 6: Final answer
    x = 12,233.28

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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.