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Finding the Fourth Proportional to 22,709.92, 31,336.08 and 12,772

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Solution

The fourth proportional to 22,709.92, 31,336.08 and 12,772 is: 17,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.92 : 31,336.08 = 12,772 : x
  2. Step 2: Convert to fraction form
    22,709.92/31,336.08 = 12,772/x
  3. Step 3: Cross multiply
    22,709.92x = 31,336.08 × 12,772
  4. Step 4: Simplify right side
    22,709.92x = 400,224,413.76
  5. Step 5: Solve for x
    x = 400,224,413.76/22,709.92
  6. Step 6: Final answer
    x = 17,623.33

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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.