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Finding the Fourth Proportional to 21,442.90, 32,168.15 and 7,401.82

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Solution

The fourth proportional to 21,442.90, 32,168.15 and 7,401.82 is: 11,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,442.90 : 32,168.15 = 7,401.82 : x
  2. Step 2: Convert to fraction form
    21,442.90/32,168.15 = 7,401.82/x
  3. Step 3: Cross multiply
    21,442.90x = 32,168.15 × 7,401.82
  4. Step 4: Simplify right side
    21,442.90x = 238,102,856.03
  5. Step 5: Solve for x
    x = 238,102,856.03/21,442.90
  6. Step 6: Final answer
    x = 11,104.04

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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.