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Finding the Fourth Proportional to 21,199.42, 31,799.10 and 7,348.42

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Solution

The fourth proportional to 21,199.42, 31,799.10 and 7,348.42 is: 11,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.42 : 31,799.10 = 7,348.42 : x
  2. Step 2: Convert to fraction form
    21,199.42/31,799.10 = 7,348.42/x
  3. Step 3: Cross multiply
    21,199.42x = 31,799.10 × 7,348.42
  4. Step 4: Simplify right side
    21,199.42x = 233,673,142.42
  5. Step 5: Solve for x
    x = 233,673,142.42/21,199.42
  6. Step 6: Final answer
    x = 11,022.62

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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.