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Finding the Fourth Proportional to 22,232.25, 33,338.63 and 6,646.23

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Solution

The fourth proportional to 22,232.25, 33,338.63 and 6,646.23 is: 9,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.25 : 33,338.63 = 6,646.23 : x
  2. Step 2: Convert to fraction form
    22,232.25/33,338.63 = 6,646.23/x
  3. Step 3: Cross multiply
    22,232.25x = 33,338.63 × 6,646.23
  4. Step 4: Simplify right side
    22,232.25x = 221,576,169.63
  5. Step 5: Solve for x
    x = 221,576,169.63/22,232.25
  6. Step 6: Final answer
    x = 9,966.43

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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.