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Finding the Fourth Proportional to 22,677.34, 33,966.78 and 10,966

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Solution

The fourth proportional to 22,677.34, 33,966.78 and 10,966 is: 16,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.34 : 33,966.78 = 10,966 : x
  2. Step 2: Convert to fraction form
    22,677.34/33,966.78 = 10,966/x
  3. Step 3: Cross multiply
    22,677.34x = 33,966.78 × 10,966
  4. Step 4: Simplify right side
    22,677.34x = 372,479,709.48
  5. Step 5: Solve for x
    x = 372,479,709.48/22,677.34
  6. Step 6: Final answer
    x = 16,425.19

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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.