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Finding the Fourth Proportional to 23,649.39, 32,633.76 and 13,575.42

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Solution

The fourth proportional to 23,649.39, 32,633.76 and 13,575.42 is: 18,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.39 : 32,633.76 = 13,575.42 : x
  2. Step 2: Convert to fraction form
    23,649.39/32,633.76 = 13,575.42/x
  3. Step 3: Cross multiply
    23,649.39x = 32,633.76 × 13,575.42
  4. Step 4: Simplify right side
    23,649.39x = 443,016,998.18
  5. Step 5: Solve for x
    x = 443,016,998.18/23,649.39
  6. Step 6: Final answer
    x = 18,732.70

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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.