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Finding the Fourth Proportional to 23,805.29, 32,776.31 and 20,213.15

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Solution

The fourth proportional to 23,805.29, 32,776.31 and 20,213.15 is: 27,830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.29 : 32,776.31 = 20,213.15 : x
  2. Step 2: Convert to fraction form
    23,805.29/32,776.31 = 20,213.15/x
  3. Step 3: Cross multiply
    23,805.29x = 32,776.31 × 20,213.15
  4. Step 4: Simplify right side
    23,805.29x = 662,512,357.13
  5. Step 5: Solve for x
    x = 662,512,357.13/23,805.29
  6. Step 6: Final answer
    x = 27,830.46

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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.