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Finding the Fourth Proportional to 24,023.92, 33,153 and 13,413.55

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Solution

The fourth proportional to 24,023.92, 33,153 and 13,413.55 is: 18,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023.92 : 33,153 = 13,413.55 : x
  2. Step 2: Convert to fraction form
    24,023.92/33,153 = 13,413.55/x
  3. Step 3: Cross multiply
    24,023.92x = 33,153 × 13,413.55
  4. Step 4: Simplify right side
    24,023.92x = 444,699,423.15
  5. Step 5: Solve for x
    x = 444,699,423.15/24,023.92
  6. Step 6: Final answer
    x = 18,510.69

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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.