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Finding the Fourth Proportional to 11,998.70, 16,565.19 and 8,026.46

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Solution

The fourth proportional to 11,998.70, 16,565.19 and 8,026.46 is: 11,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.70 : 16,565.19 = 8,026.46 : x
  2. Step 2: Convert to fraction form
    11,998.70/16,565.19 = 8,026.46/x
  3. Step 3: Cross multiply
    11,998.70x = 16,565.19 × 8,026.46
  4. Step 4: Simplify right side
    11,998.70x = 132,959,834.93
  5. Step 5: Solve for x
    x = 132,959,834.93/11,998.70
  6. Step 6: Final answer
    x = 11,081.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.