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Finding the Fourth Proportional to 12,282.11, 16,949.33 and 7,246.34

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Solution

The fourth proportional to 12,282.11, 16,949.33 and 7,246.34 is: 9,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.11 : 16,949.33 = 7,246.34 : x
  2. Step 2: Convert to fraction form
    12,282.11/16,949.33 = 7,246.34/x
  3. Step 3: Cross multiply
    12,282.11x = 16,949.33 × 7,246.34
  4. Step 4: Simplify right side
    12,282.11x = 122,820,614.09
  5. Step 5: Solve for x
    x = 122,820,614.09/12,282.11
  6. Step 6: Final answer
    x = 9,999.96

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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.