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Finding the Fourth Proportional to 16,782.64, 23,160.43 and 9,229.39

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Solution

The fourth proportional to 16,782.64, 23,160.43 and 9,229.39 is: 12,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.64 : 23,160.43 = 9,229.39 : x
  2. Step 2: Convert to fraction form
    16,782.64/23,160.43 = 9,229.39/x
  3. Step 3: Cross multiply
    16,782.64x = 23,160.43 × 9,229.39
  4. Step 4: Simplify right side
    16,782.64x = 213,756,641.04
  5. Step 5: Solve for x
    x = 213,756,641.04/16,782.64
  6. Step 6: Final answer
    x = 12,736.77

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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.