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Finding the Fourth Proportional to 13,502.71, 18,634.67 and 7,535.53

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Solution

The fourth proportional to 13,502.71, 18,634.67 and 7,535.53 is: 10,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.71 : 18,634.67 = 7,535.53 : x
  2. Step 2: Convert to fraction form
    13,502.71/18,634.67 = 7,535.53/x
  3. Step 3: Cross multiply
    13,502.71x = 18,634.67 × 7,535.53
  4. Step 4: Simplify right side
    13,502.71x = 140,422,077.15
  5. Step 5: Solve for x
    x = 140,422,077.15/13,502.71
  6. Step 6: Final answer
    x = 10,399.55

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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.