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Finding the Fourth Proportional to 13,640.79, 20,461.10 and 3,509.16

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Solution

The fourth proportional to 13,640.79, 20,461.10 and 3,509.16 is: 5,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.79 : 20,461.10 = 3,509.16 : x
  2. Step 2: Convert to fraction form
    13,640.79/20,461.10 = 3,509.16/x
  3. Step 3: Cross multiply
    13,640.79x = 20,461.10 × 3,509.16
  4. Step 4: Simplify right side
    13,640.79x = 71,801,273.68
  5. Step 5: Solve for x
    x = 71,801,273.68/13,640.79
  6. Step 6: Final answer
    x = 5,263.72

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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.