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Finding the Fourth Proportional to 13,437.39, 18,542.79 and 7,468.85

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Solution

The fourth proportional to 13,437.39, 18,542.79 and 7,468.85 is: 10,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.39 : 18,542.79 = 7,468.85 : x
  2. Step 2: Convert to fraction form
    13,437.39/18,542.79 = 7,468.85/x
  3. Step 3: Cross multiply
    13,437.39x = 18,542.79 × 7,468.85
  4. Step 4: Simplify right side
    13,437.39x = 138,493,317.09
  5. Step 5: Solve for x
    x = 138,493,317.09/13,437.39
  6. Step 6: Final answer
    x = 10,306.56

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