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Finding the Fourth Proportional to 27,129.80, 40,705.41 and 8,411.31

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Solution

The fourth proportional to 27,129.80, 40,705.41 and 8,411.31 is: 12,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129.80 : 40,705.41 = 8,411.31 : x
  2. Step 2: Convert to fraction form
    27,129.80/40,705.41 = 8,411.31/x
  3. Step 3: Cross multiply
    27,129.80x = 40,705.41 × 8,411.31
  4. Step 4: Simplify right side
    27,129.80x = 342,385,822.19
  5. Step 5: Solve for x
    x = 342,385,822.19/27,129.80
  6. Step 6: Final answer
    x = 12,620.29

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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.