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Finding the Fourth Proportional to 26,306.92, 36,313.62 and 16,237

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Solution

The fourth proportional to 26,306.92, 36,313.62 and 16,237 is: 22,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,306.92 : 36,313.62 = 16,237 : x
  2. Step 2: Convert to fraction form
    26,306.92/36,313.62 = 16,237/x
  3. Step 3: Cross multiply
    26,306.92x = 36,313.62 × 16,237
  4. Step 4: Simplify right side
    26,306.92x = 589,624,247.94
  5. Step 5: Solve for x
    x = 589,624,247.94/26,306.92
  6. Step 6: Final answer
    x = 22,413.28

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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.