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Finding the Fourth Proportional to 22,846.88, 31,532.34 and 13,413.62

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Solution

The fourth proportional to 22,846.88, 31,532.34 and 13,413.62 is: 18,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.88 : 31,532.34 = 13,413.62 : x
  2. Step 2: Convert to fraction form
    22,846.88/31,532.34 = 13,413.62/x
  3. Step 3: Cross multiply
    22,846.88x = 31,532.34 × 13,413.62
  4. Step 4: Simplify right side
    22,846.88x = 422,962,668.81
  5. Step 5: Solve for x
    x = 422,962,668.81/22,846.88
  6. Step 6: Final answer
    x = 18,512.93

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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.