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Finding the Fourth Proportional to 13,707.90, 20,567.70 and 6,694.11

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Solution

The fourth proportional to 13,707.90, 20,567.70 and 6,694.11 is: 10,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.90 : 20,567.70 = 6,694.11 : x
  2. Step 2: Convert to fraction form
    13,707.90/20,567.70 = 6,694.11/x
  3. Step 3: Cross multiply
    13,707.90x = 20,567.70 × 6,694.11
  4. Step 4: Simplify right side
    13,707.90x = 137,682,446.25
  5. Step 5: Solve for x
    x = 137,682,446.25/13,707.90
  6. Step 6: Final answer
    x = 10,044.02

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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.