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Finding the Fourth Proportional to 23,609.33, 32,578.17 and 13,535

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Solution

The fourth proportional to 23,609.33, 32,578.17 and 13,535 is: 18,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609.33 : 32,578.17 = 13,535 : x
  2. Step 2: Convert to fraction form
    23,609.33/32,578.17 = 13,535/x
  3. Step 3: Cross multiply
    23,609.33x = 32,578.17 × 13,535
  4. Step 4: Simplify right side
    23,609.33x = 440,945,530.95
  5. Step 5: Solve for x
    x = 440,945,530.95/23,609.33
  6. Step 6: Final answer
    x = 18,676.75

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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.