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Finding the Fourth Proportional to 27,112.90, 40,657.20 and 12,314.20

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Solution

The fourth proportional to 27,112.90, 40,657.20 and 12,314.20 is: 18,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,112.90 : 40,657.20 = 12,314.20 : x
  2. Step 2: Convert to fraction form
    27,112.90/40,657.20 = 12,314.20/x
  3. Step 3: Cross multiply
    27,112.90x = 40,657.20 × 12,314.20
  4. Step 4: Simplify right side
    27,112.90x = 500,660,892.24
  5. Step 5: Solve for x
    x = 500,660,892.24/27,112.90
  6. Step 6: Final answer
    x = 18,465.78

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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.