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Finding the Fourth Proportional to 13,502.33, 20,264.33 and 6,107.43

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Solution

The fourth proportional to 13,502.33, 20,264.33 and 6,107.43 is: 9,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.33 : 20,264.33 = 6,107.43 : x
  2. Step 2: Convert to fraction form
    13,502.33/20,264.33 = 6,107.43/x
  3. Step 3: Cross multiply
    13,502.33x = 20,264.33 × 6,107.43
  4. Step 4: Simplify right side
    13,502.33x = 123,762,976.97
  5. Step 5: Solve for x
    x = 123,762,976.97/13,502.33
  6. Step 6: Final answer
    x = 9,166.05

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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.