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Finding the Fourth Proportional to 22,661.36, 33,986.10 and 10,174.40

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Solution

The fourth proportional to 22,661.36, 33,986.10 and 10,174.40 is: 15,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.36 : 33,986.10 = 10,174.40 : x
  2. Step 2: Convert to fraction form
    22,661.36/33,986.10 = 10,174.40/x
  3. Step 3: Cross multiply
    22,661.36x = 33,986.10 × 10,174.40
  4. Step 4: Simplify right side
    22,661.36x = 345,788,175.84
  5. Step 5: Solve for x
    x = 345,788,175.84/22,661.36
  6. Step 6: Final answer
    x = 15,258.93

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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.