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Finding the Fourth Proportional to 12,471.09, 18,710.16 and 5,080.86

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Solution

The fourth proportional to 12,471.09, 18,710.16 and 5,080.86 is: 7,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.09 : 18,710.16 = 5,080.86 : x
  2. Step 2: Convert to fraction form
    12,471.09/18,710.16 = 5,080.86/x
  3. Step 3: Cross multiply
    12,471.09x = 18,710.16 × 5,080.86
  4. Step 4: Simplify right side
    12,471.09x = 95,063,703.54
  5. Step 5: Solve for x
    x = 95,063,703.54/12,471.09
  6. Step 6: Final answer
    x = 7,622.73

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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.