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Finding the Fourth Proportional to 13,485.72, 20,217.24 and 5,693.52

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Solution

The fourth proportional to 13,485.72, 20,217.24 and 5,693.52 is: 8,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.72 : 20,217.24 = 5,693.52 : x
  2. Step 2: Convert to fraction form
    13,485.72/20,217.24 = 5,693.52/x
  3. Step 3: Cross multiply
    13,485.72x = 20,217.24 × 5,693.52
  4. Step 4: Simplify right side
    13,485.72x = 115,107,260.28
  5. Step 5: Solve for x
    x = 115,107,260.28/13,485.72
  6. Step 6: Final answer
    x = 8,535.49

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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.