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Finding the Fourth Proportional to 13,542.15, 18,688.29 and 7,493.28

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Solution

The fourth proportional to 13,542.15, 18,688.29 and 7,493.28 is: 10,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.15 : 18,688.29 = 7,493.28 : x
  2. Step 2: Convert to fraction form
    13,542.15/18,688.29 = 7,493.28/x
  3. Step 3: Cross multiply
    13,542.15x = 18,688.29 × 7,493.28
  4. Step 4: Simplify right side
    13,542.15x = 140,036,589.69
  5. Step 5: Solve for x
    x = 140,036,589.69/13,542.15
  6. Step 6: Final answer
    x = 10,340.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.