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Finding the Fourth Proportional to 21,398.04, 32,095.22 and 8,401.50

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Solution

The fourth proportional to 21,398.04, 32,095.22 and 8,401.50 is: 12,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,398.04 : 32,095.22 = 8,401.50 : x
  2. Step 2: Convert to fraction form
    21,398.04/32,095.22 = 8,401.50/x
  3. Step 3: Cross multiply
    21,398.04x = 32,095.22 × 8,401.50
  4. Step 4: Simplify right side
    21,398.04x = 269,647,990.83
  5. Step 5: Solve for x
    x = 269,647,990.83/21,398.04
  6. Step 6: Final answer
    x = 12,601.53

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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.