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Finding the Fourth Proportional to 16,477.62, 22,738.99 and 8,923.78

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Solution

The fourth proportional to 16,477.62, 22,738.99 and 8,923.78 is: 12,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.62 : 22,738.99 = 8,923.78 : x
  2. Step 2: Convert to fraction form
    16,477.62/22,738.99 = 8,923.78/x
  3. Step 3: Cross multiply
    16,477.62x = 22,738.99 × 8,923.78
  4. Step 4: Simplify right side
    16,477.62x = 202,917,630.49
  5. Step 5: Solve for x
    x = 202,917,630.49/16,477.62
  6. Step 6: Final answer
    x = 12,314.75

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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.