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Finding the Fourth Proportional to 21,745.96, 32,612.10 and 13,413.49

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Solution

The fourth proportional to 21,745.96, 32,612.10 and 13,413.49 is: 20,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.96 : 32,612.10 = 13,413.49 : x
  2. Step 2: Convert to fraction form
    21,745.96/32,612.10 = 13,413.49/x
  3. Step 3: Cross multiply
    21,745.96x = 32,612.10 × 13,413.49
  4. Step 4: Simplify right side
    21,745.96x = 437,442,077.23
  5. Step 5: Solve for x
    x = 437,442,077.23/21,745.96
  6. Step 6: Final answer
    x = 20,116.02

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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.