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Finding the Fourth Proportional to 21,174.21, 31,773.47 and 8,023.05

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Solution

The fourth proportional to 21,174.21, 31,773.47 and 8,023.05 is: 12,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.21 : 31,773.47 = 8,023.05 : x
  2. Step 2: Convert to fraction form
    21,174.21/31,773.47 = 8,023.05/x
  3. Step 3: Cross multiply
    21,174.21x = 31,773.47 × 8,023.05
  4. Step 4: Simplify right side
    21,174.21x = 254,920,098.37
  5. Step 5: Solve for x
    x = 254,920,098.37/21,174.21
  6. Step 6: Final answer
    x = 12,039.18

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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.