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Finding the Fourth Proportional to 22,536, 33,763.91 and 19,215.41

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Solution

The fourth proportional to 22,536, 33,763.91 and 19,215.41 is: 28,788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536 : 33,763.91 = 19,215.41 : x
  2. Step 2: Convert to fraction form
    22,536/33,763.91 = 19,215.41/x
  3. Step 3: Cross multiply
    22,536x = 33,763.91 × 19,215.41
  4. Step 4: Simplify right side
    22,536x = 648,787,108.96
  5. Step 5: Solve for x
    x = 648,787,108.96/22,536
  6. Step 6: Final answer
    x = 28,788.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.