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Finding the Fourth Proportional to 13,478.90, 20,217.66 and 5,162.90

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Solution

The fourth proportional to 13,478.90, 20,217.66 and 5,162.90 is: 7,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.90 : 20,217.66 = 5,162.90 : x
  2. Step 2: Convert to fraction form
    13,478.90/20,217.66 = 5,162.90/x
  3. Step 3: Cross multiply
    13,478.90x = 20,217.66 × 5,162.90
  4. Step 4: Simplify right side
    13,478.90x = 104,381,756.81
  5. Step 5: Solve for x
    x = 104,381,756.81/13,478.90
  6. Step 6: Final answer
    x = 7,744.09

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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.