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Finding the Fourth Proportional to 13,707.90, 20,600.28 and 8,162.10

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Solution

The fourth proportional to 13,707.90, 20,600.28 and 8,162.10 is: 12,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.90 : 20,600.28 = 8,162.10 : x
  2. Step 2: Convert to fraction form
    13,707.90/20,600.28 = 8,162.10/x
  3. Step 3: Cross multiply
    13,707.90x = 20,600.28 × 8,162.10
  4. Step 4: Simplify right side
    13,707.90x = 168,141,545.39
  5. Step 5: Solve for x
    x = 168,141,545.39/13,707.90
  6. Step 6: Final answer
    x = 12,266.03

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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.