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Finding the Fourth Proportional to 13,432.56, 18,535.32 and 7,462.74

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Solution

The fourth proportional to 13,432.56, 18,535.32 and 7,462.74 is: 10,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.56 : 18,535.32 = 7,462.74 : x
  2. Step 2: Convert to fraction form
    13,432.56/18,535.32 = 7,462.74/x
  3. Step 3: Cross multiply
    13,432.56x = 18,535.32 × 7,462.74
  4. Step 4: Simplify right side
    13,432.56x = 138,324,273.98
  5. Step 5: Solve for x
    x = 138,324,273.98/13,432.56
  6. Step 6: Final answer
    x = 10,297.69

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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.