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Finding the Fourth Proportional to 22,666.46, 33,988 and 10,175.78

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Solution

The fourth proportional to 22,666.46, 33,988 and 10,175.78 is: 15,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666.46 : 33,988 = 10,175.78 : x
  2. Step 2: Convert to fraction form
    22,666.46/33,988 = 10,175.78/x
  3. Step 3: Cross multiply
    22,666.46x = 33,988 × 10,175.78
  4. Step 4: Simplify right side
    22,666.46x = 345,854,410.64
  5. Step 5: Solve for x
    x = 345,854,410.64/22,666.46
  6. Step 6: Final answer
    x = 15,258.42

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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.