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Finding the Fourth Proportional to 13,456.86, 20,182.89 and 4,094.61

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Solution

The fourth proportional to 13,456.86, 20,182.89 and 4,094.61 is: 6,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.86 : 20,182.89 = 4,094.61 : x
  2. Step 2: Convert to fraction form
    13,456.86/20,182.89 = 4,094.61/x
  3. Step 3: Cross multiply
    13,456.86x = 20,182.89 × 4,094.61
  4. Step 4: Simplify right side
    13,456.86x = 82,641,063.22
  5. Step 5: Solve for x
    x = 82,641,063.22/13,456.86
  6. Step 6: Final answer
    x = 6,141.18

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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.