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Finding the Fourth Proportional to 16,477.68, 22,739.00 and 8,923.80

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Solution

The fourth proportional to 16,477.68, 22,739.00 and 8,923.80 is: 12,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.68 : 22,739.00 = 8,923.80 : x
  2. Step 2: Convert to fraction form
    16,477.68/22,739.00 = 8,923.80/x
  3. Step 3: Cross multiply
    16,477.68x = 22,739.00 × 8,923.80
  4. Step 4: Simplify right side
    16,477.68x = 202,918,243.58
  5. Step 5: Solve for x
    x = 202,918,243.58/16,477.68
  6. Step 6: Final answer
    x = 12,314.73

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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.