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Finding the Fourth Proportional to 21,924.90, 32,892.81 and 6,342.53

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Solution

The fourth proportional to 21,924.90, 32,892.81 and 6,342.53 is: 9,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924.90 : 32,892.81 = 6,342.53 : x
  2. Step 2: Convert to fraction form
    21,924.90/32,892.81 = 6,342.53/x
  3. Step 3: Cross multiply
    21,924.90x = 32,892.81 × 6,342.53
  4. Step 4: Simplify right side
    21,924.90x = 208,623,469.75
  5. Step 5: Solve for x
    x = 208,623,469.75/21,924.90
  6. Step 6: Final answer
    x = 9,515.37

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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.