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Finding the Fourth Proportional to 16,438.63, 22,684.17 and 9,268.80

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Solution

The fourth proportional to 16,438.63, 22,684.17 and 9,268.80 is: 12,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.63 : 22,684.17 = 9,268.80 : x
  2. Step 2: Convert to fraction form
    16,438.63/22,684.17 = 9,268.80/x
  3. Step 3: Cross multiply
    16,438.63x = 22,684.17 × 9,268.80
  4. Step 4: Simplify right side
    16,438.63x = 210,255,034.90
  5. Step 5: Solve for x
    x = 210,255,034.90/16,438.63
  6. Step 6: Final answer
    x = 12,790.30

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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.