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Finding the Fourth Proportional to 16,477.22, 22,738.57 and 8,923.62

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Solution

The fourth proportional to 16,477.22, 22,738.57 and 8,923.62 is: 12,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.22 : 22,738.57 = 8,923.62 : x
  2. Step 2: Convert to fraction form
    16,477.22/22,738.57 = 8,923.62/x
  3. Step 3: Cross multiply
    16,477.22x = 22,738.57 × 8,923.62
  4. Step 4: Simplify right side
    16,477.22x = 202,910,343.27
  5. Step 5: Solve for x
    x = 202,910,343.27/16,477.22
  6. Step 6: Final answer
    x = 12,314.60

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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.