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Finding the Fourth Proportional to 16,413.92, 24,622.40 and 7,051.84

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Solution

The fourth proportional to 16,413.92, 24,622.40 and 7,051.84 is: 10,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.92 : 24,622.40 = 7,051.84 : x
  2. Step 2: Convert to fraction form
    16,413.92/24,622.40 = 7,051.84/x
  3. Step 3: Cross multiply
    16,413.92x = 24,622.40 × 7,051.84
  4. Step 4: Simplify right side
    16,413.92x = 173,633,225.22
  5. Step 5: Solve for x
    x = 173,633,225.22/16,413.92
  6. Step 6: Final answer
    x = 10,578.41

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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.