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Finding the Fourth Proportional to 22,284.54, 33,425.13 and 8,238.00

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Solution

The fourth proportional to 22,284.54, 33,425.13 and 8,238.00 is: 12,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.54 : 33,425.13 = 8,238.00 : x
  2. Step 2: Convert to fraction form
    22,284.54/33,425.13 = 8,238.00/x
  3. Step 3: Cross multiply
    22,284.54x = 33,425.13 × 8,238.00
  4. Step 4: Simplify right side
    22,284.54x = 275,356,354.01
  5. Step 5: Solve for x
    x = 275,356,354.01/22,284.54
  6. Step 6: Final answer
    x = 12,356.38

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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.