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Finding the Fourth Proportional to 21,193.75, 31,796.30 and 7,342.75

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Solution

The fourth proportional to 21,193.75, 31,796.30 and 7,342.75 is: 11,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.75 : 31,796.30 = 7,342.75 : x
  2. Step 2: Convert to fraction form
    21,193.75/31,796.30 = 7,342.75/x
  3. Step 3: Cross multiply
    21,193.75x = 31,796.30 × 7,342.75
  4. Step 4: Simplify right side
    21,193.75x = 233,472,281.83
  5. Step 5: Solve for x
    x = 233,472,281.83/21,193.75
  6. Step 6: Final answer
    x = 11,016.09

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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.