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Finding the Fourth Proportional to 21,406.40, 32,110.48 and 6,614.96

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Solution

The fourth proportional to 21,406.40, 32,110.48 and 6,614.96 is: 9,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.40 : 32,110.48 = 6,614.96 : x
  2. Step 2: Convert to fraction form
    21,406.40/32,110.48 = 6,614.96/x
  3. Step 3: Cross multiply
    21,406.40x = 32,110.48 × 6,614.96
  4. Step 4: Simplify right side
    21,406.40x = 212,409,540.78
  5. Step 5: Solve for x
    x = 212,409,540.78/21,406.40
  6. Step 6: Final answer
    x = 9,922.71

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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.