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Finding the Fourth Proportional to 13,437.36, 18,542.34 and 7,468.38

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Solution

The fourth proportional to 13,437.36, 18,542.34 and 7,468.38 is: 10,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.36 : 18,542.34 = 7,468.38 : x
  2. Step 2: Convert to fraction form
    13,437.36/18,542.34 = 7,468.38/x
  3. Step 3: Cross multiply
    13,437.36x = 18,542.34 × 7,468.38
  4. Step 4: Simplify right side
    13,437.36x = 138,481,241.21
  5. Step 5: Solve for x
    x = 138,481,241.21/13,437.36
  6. Step 6: Final answer
    x = 10,305.69

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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.