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Finding the Fourth Proportional to 21,822.35, 32,749.79 and 8,497.44

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Solution

The fourth proportional to 21,822.35, 32,749.79 and 8,497.44 is: 12,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.35 : 32,749.79 = 8,497.44 : x
  2. Step 2: Convert to fraction form
    21,822.35/32,749.79 = 8,497.44/x
  3. Step 3: Cross multiply
    21,822.35x = 32,749.79 × 8,497.44
  4. Step 4: Simplify right side
    21,822.35x = 278,289,333.05
  5. Step 5: Solve for x
    x = 278,289,333.05/21,822.35
  6. Step 6: Final answer
    x = 12,752.49

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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.