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Finding the Fourth Proportional to 27,184.95, 40,781.22 and 8,466.33

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Solution

The fourth proportional to 27,184.95, 40,781.22 and 8,466.33 is: 12,700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184.95 : 40,781.22 = 8,466.33 : x
  2. Step 2: Convert to fraction form
    27,184.95/40,781.22 = 8,466.33/x
  3. Step 3: Cross multiply
    27,184.95x = 40,781.22 × 8,466.33
  4. Step 4: Simplify right side
    27,184.95x = 345,267,266.32
  5. Step 5: Solve for x
    x = 345,267,266.32/27,184.95
  6. Step 6: Final answer
    x = 12,700.68

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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.