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Finding the Fourth Proportional to 22,578.24, 33,878.16 and 8,724

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Solution

The fourth proportional to 22,578.24, 33,878.16 and 8,724 is: 13,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.24 : 33,878.16 = 8,724 : x
  2. Step 2: Convert to fraction form
    22,578.24/33,878.16 = 8,724/x
  3. Step 3: Cross multiply
    22,578.24x = 33,878.16 × 8,724
  4. Step 4: Simplify right side
    22,578.24x = 295,553,067.84
  5. Step 5: Solve for x
    x = 295,553,067.84/22,578.24
  6. Step 6: Final answer
    x = 13,090.17

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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.