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Finding the Fourth Proportional to 13,949.96, 19,251.24 and 7,662.30

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Solution

The fourth proportional to 13,949.96, 19,251.24 and 7,662.30 is: 10,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,949.96 : 19,251.24 = 7,662.30 : x
  2. Step 2: Convert to fraction form
    13,949.96/19,251.24 = 7,662.30/x
  3. Step 3: Cross multiply
    13,949.96x = 19,251.24 × 7,662.30
  4. Step 4: Simplify right side
    13,949.96x = 147,508,776.25
  5. Step 5: Solve for x
    x = 147,508,776.25/13,949.96
  6. Step 6: Final answer
    x = 10,574.14

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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.