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Finding the Fourth Proportional to 13,483.95, 20,217.47 and 4,120.85

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Solution

The fourth proportional to 13,483.95, 20,217.47 and 4,120.85 is: 6,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.95 : 20,217.47 = 4,120.85 : x
  2. Step 2: Convert to fraction form
    13,483.95/20,217.47 = 4,120.85/x
  3. Step 3: Cross multiply
    13,483.95x = 20,217.47 × 4,120.85
  4. Step 4: Simplify right side
    13,483.95x = 83,313,140.65
  5. Step 5: Solve for x
    x = 83,313,140.65/13,483.95
  6. Step 6: Final answer
    x = 6,178.69

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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.