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Finding the Fourth Proportional to 13,542.72, 20,321.37 and 13,501.50

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Solution

The fourth proportional to 13,542.72, 20,321.37 and 13,501.50 is: 20,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.72 : 20,321.37 = 13,501.50 : x
  2. Step 2: Convert to fraction form
    13,542.72/20,321.37 = 13,501.50/x
  3. Step 3: Cross multiply
    13,542.72x = 20,321.37 × 13,501.50
  4. Step 4: Simplify right side
    13,542.72x = 274,368,977.06
  5. Step 5: Solve for x
    x = 274,368,977.06/13,542.72
  6. Step 6: Final answer
    x = 20,259.52

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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.