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Finding the Fourth Proportional to 22,846.38, 31,531.64 and 13,413.12

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Solution

The fourth proportional to 22,846.38, 31,531.64 and 13,413.12 is: 18,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.38 : 31,531.64 = 13,413.12 : x
  2. Step 2: Convert to fraction form
    22,846.38/31,531.64 = 13,413.12/x
  3. Step 3: Cross multiply
    22,846.38x = 31,531.64 × 13,413.12
  4. Step 4: Simplify right side
    22,846.38x = 422,937,671.12
  5. Step 5: Solve for x
    x = 422,937,671.12/22,846.38
  6. Step 6: Final answer
    x = 18,512.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.