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Finding the Fourth Proportional to 16,413.45, 24,631.05 and 9,023.07

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Solution

The fourth proportional to 16,413.45, 24,631.05 and 9,023.07 is: 13,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.45 : 24,631.05 = 9,023.07 : x
  2. Step 2: Convert to fraction form
    16,413.45/24,631.05 = 9,023.07/x
  3. Step 3: Cross multiply
    16,413.45x = 24,631.05 × 9,023.07
  4. Step 4: Simplify right side
    16,413.45x = 222,247,688.32
  5. Step 5: Solve for x
    x = 222,247,688.32/16,413.45
  6. Step 6: Final answer
    x = 13,540.58

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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.