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Finding the Fourth Proportional to 21,662.42, 32,496.89 and 9,182.48

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Solution

The fourth proportional to 21,662.42, 32,496.89 and 9,182.48 is: 13,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.42 : 32,496.89 = 9,182.48 : x
  2. Step 2: Convert to fraction form
    21,662.42/32,496.89 = 9,182.48/x
  3. Step 3: Cross multiply
    21,662.42x = 32,496.89 × 9,182.48
  4. Step 4: Simplify right side
    21,662.42x = 298,401,834.09
  5. Step 5: Solve for x
    x = 298,401,834.09/21,662.42
  6. Step 6: Final answer
    x = 13,775.10

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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.