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Finding the Fourth Proportional to 13,816.99, 20,732.82 and 6,026.41

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Solution

The fourth proportional to 13,816.99, 20,732.82 and 6,026.41 is: 9,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.99 : 20,732.82 = 6,026.41 : x
  2. Step 2: Convert to fraction form
    13,816.99/20,732.82 = 6,026.41/x
  3. Step 3: Cross multiply
    13,816.99x = 20,732.82 × 6,026.41
  4. Step 4: Simplify right side
    13,816.99x = 124,944,473.78
  5. Step 5: Solve for x
    x = 124,944,473.78/13,816.99
  6. Step 6: Final answer
    x = 9,042.81

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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.