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Finding the Fourth Proportional to 22,778.76, 31,429.60 and 13,217.16

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Solution

The fourth proportional to 22,778.76, 31,429.60 and 13,217.16 is: 18,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.76 : 31,429.60 = 13,217.16 : x
  2. Step 2: Convert to fraction form
    22,778.76/31,429.60 = 13,217.16/x
  3. Step 3: Cross multiply
    22,778.76x = 31,429.60 × 13,217.16
  4. Step 4: Simplify right side
    22,778.76x = 415,410,051.94
  5. Step 5: Solve for x
    x = 415,410,051.94/22,778.76
  6. Step 6: Final answer
    x = 18,236.73

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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.