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Finding the Fourth Proportional to 13,502.72, 18,635.52 and 7,914.24

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Solution

The fourth proportional to 13,502.72, 18,635.52 and 7,914.24 is: 10,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.72 : 18,635.52 = 7,914.24 : x
  2. Step 2: Convert to fraction form
    13,502.72/18,635.52 = 7,914.24/x
  3. Step 3: Cross multiply
    13,502.72x = 18,635.52 × 7,914.24
  4. Step 4: Simplify right side
    13,502.72x = 147,485,977.80
  5. Step 5: Solve for x
    x = 147,485,977.80/13,502.72
  6. Step 6: Final answer
    x = 10,922.69

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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.