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Finding the Fourth Proportional to 20,805.72, 31,193.99 and 7,656.38

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Solution

The fourth proportional to 20,805.72, 31,193.99 and 7,656.38 is: 11,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.72 : 31,193.99 = 7,656.38 : x
  2. Step 2: Convert to fraction form
    20,805.72/31,193.99 = 7,656.38/x
  3. Step 3: Cross multiply
    20,805.72x = 31,193.99 × 7,656.38
  4. Step 4: Simplify right side
    20,805.72x = 238,832,982.31
  5. Step 5: Solve for x
    x = 238,832,982.31/20,805.72
  6. Step 6: Final answer
    x = 11,479.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.