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Finding the Fourth Proportional to 14,002.41, 20,998.14 and 6,205.75

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Solution

The fourth proportional to 14,002.41, 20,998.14 and 6,205.75 is: 9,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.41 : 20,998.14 = 6,205.75 : x
  2. Step 2: Convert to fraction form
    14,002.41/20,998.14 = 6,205.75/x
  3. Step 3: Cross multiply
    14,002.41x = 20,998.14 × 6,205.75
  4. Step 4: Simplify right side
    14,002.41x = 130,309,207.31
  5. Step 5: Solve for x
    x = 130,309,207.31/14,002.41
  6. Step 6: Final answer
    x = 9,306.20

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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.