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Finding the Fourth Proportional to 13,502.29, 20,252.01 and 3,640.96

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Solution

The fourth proportional to 13,502.29, 20,252.01 and 3,640.96 is: 5,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.29 : 20,252.01 = 3,640.96 : x
  2. Step 2: Convert to fraction form
    13,502.29/20,252.01 = 3,640.96/x
  3. Step 3: Cross multiply
    13,502.29x = 20,252.01 × 3,640.96
  4. Step 4: Simplify right side
    13,502.29x = 73,736,758.33
  5. Step 5: Solve for x
    x = 73,736,758.33/13,502.29
  6. Step 6: Final answer
    x = 5,461.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.