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Finding the Fourth Proportional to 22,524.48, 33,778.08 and 7,730.64

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Solution

The fourth proportional to 22,524.48, 33,778.08 and 7,730.64 is: 11,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.48 : 33,778.08 = 7,730.64 : x
  2. Step 2: Convert to fraction form
    22,524.48/33,778.08 = 7,730.64/x
  3. Step 3: Cross multiply
    22,524.48x = 33,778.08 × 7,730.64
  4. Step 4: Simplify right side
    22,524.48x = 261,126,176.37
  5. Step 5: Solve for x
    x = 261,126,176.37/22,524.48
  6. Step 6: Final answer
    x = 11,592.99

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