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Finding the Fourth Proportional to 23,413.91, 32,310.87 and 13,342.96

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Solution

The fourth proportional to 23,413.91, 32,310.87 and 13,342.96 is: 18,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.91 : 32,310.87 = 13,342.96 : x
  2. Step 2: Convert to fraction form
    23,413.91/32,310.87 = 13,342.96/x
  3. Step 3: Cross multiply
    23,413.91x = 32,310.87 × 13,342.96
  4. Step 4: Simplify right side
    23,413.91x = 431,122,484.42
  5. Step 5: Solve for x
    x = 431,122,484.42/23,413.91
  6. Step 6: Final answer
    x = 18,413.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.