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Finding the Fourth Proportional to 21,452.97, 32,174.31 and 7,413.48

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Solution

The fourth proportional to 21,452.97, 32,174.31 and 7,413.48 is: 11,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452.97 : 32,174.31 = 7,413.48 : x
  2. Step 2: Convert to fraction form
    21,452.97/32,174.31 = 7,413.48/x
  3. Step 3: Cross multiply
    21,452.97x = 32,174.31 × 7,413.48
  4. Step 4: Simplify right side
    21,452.97x = 238,523,603.70
  5. Step 5: Solve for x
    x = 238,523,603.70/21,452.97
  6. Step 6: Final answer
    x = 11,118.44

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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.