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Finding the Fourth Proportional to 21,339.74, 32,013.73 and 8,191.09

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Solution

The fourth proportional to 21,339.74, 32,013.73 and 8,191.09 is: 12,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,339.74 : 32,013.73 = 8,191.09 : x
  2. Step 2: Convert to fraction form
    21,339.74/32,013.73 = 8,191.09/x
  3. Step 3: Cross multiply
    21,339.74x = 32,013.73 × 8,191.09
  4. Step 4: Simplify right side
    21,339.74x = 262,227,343.67
  5. Step 5: Solve for x
    x = 262,227,343.67/21,339.74
  6. Step 6: Final answer
    x = 12,288.22

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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.