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Finding the Fourth Proportional to 22,424.54, 33,636.80 and 9,262.44

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Solution

The fourth proportional to 22,424.54, 33,636.80 and 9,262.44 is: 13,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.54 : 33,636.80 = 9,262.44 : x
  2. Step 2: Convert to fraction form
    22,424.54/33,636.80 = 9,262.44/x
  3. Step 3: Cross multiply
    22,424.54x = 33,636.80 × 9,262.44
  4. Step 4: Simplify right side
    22,424.54x = 311,558,864.95
  5. Step 5: Solve for x
    x = 311,558,864.95/22,424.54
  6. Step 6: Final answer
    x = 13,893.66

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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.