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Finding the Fourth Proportional to 24,297.38, 33,518.93 and 14,219.65

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Solution

The fourth proportional to 24,297.38, 33,518.93 and 14,219.65 is: 19,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,297.38 : 33,518.93 = 14,219.65 : x
  2. Step 2: Convert to fraction form
    24,297.38/33,518.93 = 14,219.65/x
  3. Step 3: Cross multiply
    24,297.38x = 33,518.93 × 14,219.65
  4. Step 4: Simplify right side
    24,297.38x = 476,627,452.97
  5. Step 5: Solve for x
    x = 476,627,452.97/24,297.38
  6. Step 6: Final answer
    x = 19,616.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.