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Finding the Fourth Proportional to 22,562.25, 33,843.38 and 6,146.25

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Solution

The fourth proportional to 22,562.25, 33,843.38 and 6,146.25 is: 9,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562.25 : 33,843.38 = 6,146.25 : x
  2. Step 2: Convert to fraction form
    22,562.25/33,843.38 = 6,146.25/x
  3. Step 3: Cross multiply
    22,562.25x = 33,843.38 × 6,146.25
  4. Step 4: Simplify right side
    22,562.25x = 208,009,843.59
  5. Step 5: Solve for x
    x = 208,009,843.59/22,562.25
  6. Step 6: Final answer
    x = 9,219.38

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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.