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Finding the Fourth Proportional to 13,436.76, 18,542.61 and 7,468.59

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Solution

The fourth proportional to 13,436.76, 18,542.61 and 7,468.59 is: 10,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.76 : 18,542.61 = 7,468.59 : x
  2. Step 2: Convert to fraction form
    13,436.76/18,542.61 = 7,468.59/x
  3. Step 3: Cross multiply
    13,436.76x = 18,542.61 × 7,468.59
  4. Step 4: Simplify right side
    13,436.76x = 138,487,151.62
  5. Step 5: Solve for x
    x = 138,487,151.62/13,436.76
  6. Step 6: Final answer
    x = 10,306.59

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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.