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Finding the Fourth Proportional to 13,500.95, 18,631.26 and 7,532.61

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Solution

The fourth proportional to 13,500.95, 18,631.26 and 7,532.61 is: 10,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.95 : 18,631.26 = 7,532.61 : x
  2. Step 2: Convert to fraction form
    13,500.95/18,631.26 = 7,532.61/x
  3. Step 3: Cross multiply
    13,500.95x = 18,631.26 × 7,532.61
  4. Step 4: Simplify right side
    13,500.95x = 140,342,015.39
  5. Step 5: Solve for x
    x = 140,342,015.39/13,500.95
  6. Step 6: Final answer
    x = 10,394.97

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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.