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Finding the Fourth Proportional to 21,665.40, 32,498.32 and 6,874.44

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Solution

The fourth proportional to 21,665.40, 32,498.32 and 6,874.44 is: 10,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.40 : 32,498.32 = 6,874.44 : x
  2. Step 2: Convert to fraction form
    21,665.40/32,498.32 = 6,874.44/x
  3. Step 3: Cross multiply
    21,665.40x = 32,498.32 × 6,874.44
  4. Step 4: Simplify right side
    21,665.40x = 223,407,750.94
  5. Step 5: Solve for x
    x = 223,407,750.94/21,665.40
  6. Step 6: Final answer
    x = 10,311.73

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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.