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Finding the Fourth Proportional to 26,728, 36,884.70 and 14,792.14

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Solution

The fourth proportional to 26,728, 36,884.70 and 14,792.14 is: 20,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,728 : 36,884.70 = 14,792.14 : x
  2. Step 2: Convert to fraction form
    26,728/36,884.70 = 14,792.14/x
  3. Step 3: Cross multiply
    26,728x = 36,884.70 × 14,792.14
  4. Step 4: Simplify right side
    26,728x = 545,603,646.26
  5. Step 5: Solve for x
    x = 545,603,646.26/26,728
  6. Step 6: Final answer
    x = 20,413.19

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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.