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Finding the Fourth Proportional to 23,266.57, 32,107.97 and 12,656.27

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Solution

The fourth proportional to 23,266.57, 32,107.97 and 12,656.27 is: 17,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,266.57 : 32,107.97 = 12,656.27 : x
  2. Step 2: Convert to fraction form
    23,266.57/32,107.97 = 12,656.27/x
  3. Step 3: Cross multiply
    23,266.57x = 32,107.97 × 12,656.27
  4. Step 4: Simplify right side
    23,266.57x = 406,367,137.47
  5. Step 5: Solve for x
    x = 406,367,137.47/23,266.57
  6. Step 6: Final answer
    x = 17,465.71

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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.