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Finding the Fourth Proportional to 24,243, 33,455.75 and 15,859.50

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Solution

The fourth proportional to 24,243, 33,455.75 and 15,859.50 is: 21,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243 : 33,455.75 = 15,859.50 : x
  2. Step 2: Convert to fraction form
    24,243/33,455.75 = 15,859.50/x
  3. Step 3: Cross multiply
    24,243x = 33,455.75 × 15,859.50
  4. Step 4: Simplify right side
    24,243x = 530,591,467.13
  5. Step 5: Solve for x
    x = 530,591,467.13/24,243
  6. Step 6: Final answer
    x = 21,886.38

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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.