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Finding the Fourth Proportional to 23,633.88, 32,614.55 and 13,023.44

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Solution

The fourth proportional to 23,633.88, 32,614.55 and 13,023.44 is: 17,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.88 : 32,614.55 = 13,023.44 : x
  2. Step 2: Convert to fraction form
    23,633.88/32,614.55 = 13,023.44/x
  3. Step 3: Cross multiply
    23,633.88x = 32,614.55 × 13,023.44
  4. Step 4: Simplify right side
    23,633.88x = 424,753,406.86
  5. Step 5: Solve for x
    x = 424,753,406.86/23,633.88
  6. Step 6: Final answer
    x = 17,972.22

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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.