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Finding the Fourth Proportional to 21,446.75, 32,162.22 and 7,403.19

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Solution

The fourth proportional to 21,446.75, 32,162.22 and 7,403.19 is: 11,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,446.75 : 32,162.22 = 7,403.19 : x
  2. Step 2: Convert to fraction form
    21,446.75/32,162.22 = 7,403.19/x
  3. Step 3: Cross multiply
    21,446.75x = 32,162.22 × 7,403.19
  4. Step 4: Simplify right side
    21,446.75x = 238,103,025.48
  5. Step 5: Solve for x
    x = 238,103,025.48/21,446.75
  6. Step 6: Final answer
    x = 11,102.06

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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.