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Finding the Fourth Proportional to 27,416.80, 41,125.20 and 14,294.80

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Solution

The fourth proportional to 27,416.80, 41,125.20 and 14,294.80 is: 21,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.80 : 41,125.20 = 14,294.80 : x
  2. Step 2: Convert to fraction form
    27,416.80/41,125.20 = 14,294.80/x
  3. Step 3: Cross multiply
    27,416.80x = 41,125.20 × 14,294.80
  4. Step 4: Simplify right side
    27,416.80x = 587,876,508.96
  5. Step 5: Solve for x
    x = 587,876,508.96/27,416.80
  6. Step 6: Final answer
    x = 21,442.20

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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.