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Finding the Fourth Proportional to 23,647.57, 32,633.24 and 12,892.57

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Solution

The fourth proportional to 23,647.57, 32,633.24 and 12,892.57 is: 17,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.57 : 32,633.24 = 12,892.57 : x
  2. Step 2: Convert to fraction form
    23,647.57/32,633.24 = 12,892.57/x
  3. Step 3: Cross multiply
    23,647.57x = 32,633.24 × 12,892.57
  4. Step 4: Simplify right side
    23,647.57x = 420,726,184.98
  5. Step 5: Solve for x
    x = 420,726,184.98/23,647.57
  6. Step 6: Final answer
    x = 17,791.52

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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.