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Finding the Fourth Proportional to 21,343.30, 32,016.51 and 8,195.67

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Solution

The fourth proportional to 21,343.30, 32,016.51 and 8,195.67 is: 12,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.30 : 32,016.51 = 8,195.67 : x
  2. Step 2: Convert to fraction form
    21,343.30/32,016.51 = 8,195.67/x
  3. Step 3: Cross multiply
    21,343.30x = 32,016.51 × 8,195.67
  4. Step 4: Simplify right side
    21,343.30x = 262,396,750.51
  5. Step 5: Solve for x
    x = 262,396,750.51/21,343.30
  6. Step 6: Final answer
    x = 12,294.11

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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.