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Finding the Fourth Proportional to 22,012.94, 33,019.05 and 8,864.98

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Solution

The fourth proportional to 22,012.94, 33,019.05 and 8,864.98 is: 13,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012.94 : 33,019.05 = 8,864.98 : x
  2. Step 2: Convert to fraction form
    22,012.94/33,019.05 = 8,864.98/x
  3. Step 3: Cross multiply
    22,012.94x = 33,019.05 × 8,864.98
  4. Step 4: Simplify right side
    22,012.94x = 292,713,217.87
  5. Step 5: Solve for x
    x = 292,713,217.87/22,012.94
  6. Step 6: Final answer
    x = 13,297.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.