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Finding the Fourth Proportional to 13,976.82, 19,282.14 and 9,252.90

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Solution

The fourth proportional to 13,976.82, 19,282.14 and 9,252.90 is: 12,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.82 : 19,282.14 = 9,252.90 : x
  2. Step 2: Convert to fraction form
    13,976.82/19,282.14 = 9,252.90/x
  3. Step 3: Cross multiply
    13,976.82x = 19,282.14 × 9,252.90
  4. Step 4: Simplify right side
    13,976.82x = 178,415,713.21
  5. Step 5: Solve for x
    x = 178,415,713.21/13,976.82
  6. Step 6: Final answer
    x = 12,765.11

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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.