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Finding the Fourth Proportional to 22,663.72, 33,982.50 and 8,796.52

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Solution

The fourth proportional to 22,663.72, 33,982.50 and 8,796.52 is: 13,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.72 : 33,982.50 = 8,796.52 : x
  2. Step 2: Convert to fraction form
    22,663.72/33,982.50 = 8,796.52/x
  3. Step 3: Cross multiply
    22,663.72x = 33,982.50 × 8,796.52
  4. Step 4: Simplify right side
    22,663.72x = 298,927,740.90
  5. Step 5: Solve for x
    x = 298,927,740.90/22,663.72
  6. Step 6: Final answer
    x = 13,189.70

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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.