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Finding the Fourth Proportional to 13,640.65, 20,461.37 and 5,320.33

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Solution

The fourth proportional to 13,640.65, 20,461.37 and 5,320.33 is: 7,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.65 : 20,461.37 = 5,320.33 : x
  2. Step 2: Convert to fraction form
    13,640.65/20,461.37 = 5,320.33/x
  3. Step 3: Cross multiply
    13,640.65x = 20,461.37 × 5,320.33
  4. Step 4: Simplify right side
    13,640.65x = 108,861,240.65
  5. Step 5: Solve for x
    x = 108,861,240.65/13,640.65
  6. Step 6: Final answer
    x = 7,980.65

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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.