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Finding the Fourth Proportional to 13,950.14, 19,251.18 and 7,662.92

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Solution

The fourth proportional to 13,950.14, 19,251.18 and 7,662.92 is: 10,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.14 : 19,251.18 = 7,662.92 : x
  2. Step 2: Convert to fraction form
    13,950.14/19,251.18 = 7,662.92/x
  3. Step 3: Cross multiply
    13,950.14x = 19,251.18 × 7,662.92
  4. Step 4: Simplify right side
    13,950.14x = 147,520,252.25
  5. Step 5: Solve for x
    x = 147,520,252.25/13,950.14
  6. Step 6: Final answer
    x = 10,574.82

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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.