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Finding the Fourth Proportional to 22,677.53, 33,996.75 and 10,017.66

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Solution

The fourth proportional to 22,677.53, 33,996.75 and 10,017.66 is: 15,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.53 : 33,996.75 = 10,017.66 : x
  2. Step 2: Convert to fraction form
    22,677.53/33,996.75 = 10,017.66/x
  3. Step 3: Cross multiply
    22,677.53x = 33,996.75 × 10,017.66
  4. Step 4: Simplify right side
    22,677.53x = 340,567,972.53
  5. Step 5: Solve for x
    x = 340,567,972.53/22,677.53
  6. Step 6: Final answer
    x = 15,017.86

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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.