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Finding the Fourth Proportional to 22,051.73, 33,082.14 and 7,261.53

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Solution

The fourth proportional to 22,051.73, 33,082.14 and 7,261.53 is: 10,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,051.73 : 33,082.14 = 7,261.53 : x
  2. Step 2: Convert to fraction form
    22,051.73/33,082.14 = 7,261.53/x
  3. Step 3: Cross multiply
    22,051.73x = 33,082.14 × 7,261.53
  4. Step 4: Simplify right side
    22,051.73x = 240,226,952.07
  5. Step 5: Solve for x
    x = 240,226,952.07/22,051.73
  6. Step 6: Final answer
    x = 10,893.79

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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.