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Finding the Fourth Proportional to 13,747.08, 20,616.50 and 7,169.67

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Solution

The fourth proportional to 13,747.08, 20,616.50 and 7,169.67 is: 10,752.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.08 : 20,616.50 = 7,169.67 : x
  2. Step 2: Convert to fraction form
    13,747.08/20,616.50 = 7,169.67/x
  3. Step 3: Cross multiply
    13,747.08x = 20,616.50 × 7,169.67
  4. Step 4: Simplify right side
    13,747.08x = 147,813,465.71
  5. Step 5: Solve for x
    x = 147,813,465.71/13,747.08
  6. Step 6: Final answer
    x = 10,752.36

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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.