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Finding the Fourth Proportional to 22,092.48, 33,138.72 and 12,852

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Solution

The fourth proportional to 22,092.48, 33,138.72 and 12,852 is: 19,278

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,092.48 : 33,138.72 = 12,852 : x
  2. Step 2: Convert to fraction form
    22,092.48/33,138.72 = 12,852/x
  3. Step 3: Cross multiply
    22,092.48x = 33,138.72 × 12,852
  4. Step 4: Simplify right side
    22,092.48x = 425,898,829.44
  5. Step 5: Solve for x
    x = 425,898,829.44/22,092.48
  6. Step 6: Final answer
    x = 19,278

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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.