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Finding the Fourth Proportional to 15,413.80, 23,102.70 and 8,846.20

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Solution

The fourth proportional to 15,413.80, 23,102.70 and 8,846.20 is: 13,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.80 : 23,102.70 = 8,846.20 : x
  2. Step 2: Convert to fraction form
    15,413.80/23,102.70 = 8,846.20/x
  3. Step 3: Cross multiply
    15,413.80x = 23,102.70 × 8,846.20
  4. Step 4: Simplify right side
    15,413.80x = 204,371,104.74
  5. Step 5: Solve for x
    x = 204,371,104.74/15,413.80
  6. Step 6: Final answer
    x = 13,258.97

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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.