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Finding the Fourth Proportional to 22,238.31, 33,357.87 and 7,444.47

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Solution

The fourth proportional to 22,238.31, 33,357.87 and 7,444.47 is: 11,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,238.31 : 33,357.87 = 7,444.47 : x
  2. Step 2: Convert to fraction form
    22,238.31/33,357.87 = 7,444.47/x
  3. Step 3: Cross multiply
    22,238.31x = 33,357.87 × 7,444.47
  4. Step 4: Simplify right side
    22,238.31x = 248,331,662.48
  5. Step 5: Solve for x
    x = 248,331,662.48/22,238.31
  6. Step 6: Final answer
    x = 11,166.84

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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.