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Finding the Fourth Proportional to 14,640.57, 21,969.60 and 13,449.50

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Solution

The fourth proportional to 14,640.57, 21,969.60 and 13,449.50 is: 20,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.57 : 21,969.60 = 13,449.50 : x
  2. Step 2: Convert to fraction form
    14,640.57/21,969.60 = 13,449.50/x
  3. Step 3: Cross multiply
    14,640.57x = 21,969.60 × 13,449.50
  4. Step 4: Simplify right side
    14,640.57x = 295,480,091.54
  5. Step 5: Solve for x
    x = 295,480,091.54/14,640.57
  6. Step 6: Final answer
    x = 20,182.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.