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Finding the Fourth Proportional to 13,570.50, 20,337.24 and 13,171.52

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Solution

The fourth proportional to 13,570.50, 20,337.24 and 13,171.52 is: 19,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.50 : 20,337.24 = 13,171.52 : x
  2. Step 2: Convert to fraction form
    13,570.50/20,337.24 = 13,171.52/x
  3. Step 3: Cross multiply
    13,570.50x = 20,337.24 × 13,171.52
  4. Step 4: Simplify right side
    13,570.50x = 267,872,363.40
  5. Step 5: Solve for x
    x = 267,872,363.40/13,570.50
  6. Step 6: Final answer
    x = 19,739.31

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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.