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Finding the Fourth Proportional to 21,459.78, 32,191.50 and 5,877.42

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Solution

The fourth proportional to 21,459.78, 32,191.50 and 5,877.42 is: 8,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,459.78 : 32,191.50 = 5,877.42 : x
  2. Step 2: Convert to fraction form
    21,459.78/32,191.50 = 5,877.42/x
  3. Step 3: Cross multiply
    21,459.78x = 32,191.50 × 5,877.42
  4. Step 4: Simplify right side
    21,459.78x = 189,202,965.93
  5. Step 5: Solve for x
    x = 189,202,965.93/21,459.78
  6. Step 6: Final answer
    x = 8,816.63

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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.