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Finding the Fourth Proportional to 27,877.40, 41,822.10 and 8,154.44

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Solution

The fourth proportional to 27,877.40, 41,822.10 and 8,154.44 is: 12,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.40 : 41,822.10 = 8,154.44 : x
  2. Step 2: Convert to fraction form
    27,877.40/41,822.10 = 8,154.44/x
  3. Step 3: Cross multiply
    27,877.40x = 41,822.10 × 8,154.44
  4. Step 4: Simplify right side
    27,877.40x = 341,035,805.12
  5. Step 5: Solve for x
    x = 341,035,805.12/27,877.40
  6. Step 6: Final answer
    x = 12,233.42

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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.