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Finding the Fourth Proportional to 27,877.20, 41,816.16 and 8,156.16

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Solution

The fourth proportional to 27,877.20, 41,816.16 and 8,156.16 is: 12,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.20 : 41,816.16 = 8,156.16 : x
  2. Step 2: Convert to fraction form
    27,877.20/41,816.16 = 8,156.16/x
  3. Step 3: Cross multiply
    27,877.20x = 41,816.16 × 8,156.16
  4. Step 4: Simplify right side
    27,877.20x = 341,059,291.55
  5. Step 5: Solve for x
    x = 341,059,291.55/27,877.20
  6. Step 6: Final answer
    x = 12,234.35

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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.