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Finding the Fourth Proportional to 21,781.25, 32,667.96 and 5,770.89

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Solution

The fourth proportional to 21,781.25, 32,667.96 and 5,770.89 is: 8,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.25 : 32,667.96 = 5,770.89 : x
  2. Step 2: Convert to fraction form
    21,781.25/32,667.96 = 5,770.89/x
  3. Step 3: Cross multiply
    21,781.25x = 32,667.96 × 5,770.89
  4. Step 4: Simplify right side
    21,781.25x = 188,523,040.34
  5. Step 5: Solve for x
    x = 188,523,040.34/21,781.25
  6. Step 6: Final answer
    x = 8,655.29

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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.