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Finding the Fourth Proportional to 13,109.36, 18,086.46 and 7,443.52

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Solution

The fourth proportional to 13,109.36, 18,086.46 and 7,443.52 is: 10,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.36 : 18,086.46 = 7,443.52 : x
  2. Step 2: Convert to fraction form
    13,109.36/18,086.46 = 7,443.52/x
  3. Step 3: Cross multiply
    13,109.36x = 18,086.46 × 7,443.52
  4. Step 4: Simplify right side
    13,109.36x = 134,626,926.74
  5. Step 5: Solve for x
    x = 134,626,926.74/13,109.36
  6. Step 6: Final answer
    x = 10,269.53

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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.