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Finding the Fourth Proportional to 14,233.24, 19,640.04 and 7,945.88

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Solution

The fourth proportional to 14,233.24, 19,640.04 and 7,945.88 is: 10,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.24 : 19,640.04 = 7,945.88 : x
  2. Step 2: Convert to fraction form
    14,233.24/19,640.04 = 7,945.88/x
  3. Step 3: Cross multiply
    14,233.24x = 19,640.04 × 7,945.88
  4. Step 4: Simplify right side
    14,233.24x = 156,057,401.04
  5. Step 5: Solve for x
    x = 156,057,401.04/14,233.24
  6. Step 6: Final answer
    x = 10,964.29

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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.