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Finding the Fourth Proportional to 21,162.42, 31,744.04 and 7,119.86

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Solution

The fourth proportional to 21,162.42, 31,744.04 and 7,119.86 is: 10,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.42 : 31,744.04 = 7,119.86 : x
  2. Step 2: Convert to fraction form
    21,162.42/31,744.04 = 7,119.86/x
  3. Step 3: Cross multiply
    21,162.42x = 31,744.04 × 7,119.86
  4. Step 4: Simplify right side
    21,162.42x = 226,012,926.31
  5. Step 5: Solve for x
    x = 226,012,926.31/21,162.42
  6. Step 6: Final answer
    x = 10,679.92

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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.