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Finding the Fourth Proportional to 21,344.46, 32,025.92 and 8,193.77

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Solution

The fourth proportional to 21,344.46, 32,025.92 and 8,193.77 is: 12,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.46 : 32,025.92 = 8,193.77 : x
  2. Step 2: Convert to fraction form
    21,344.46/32,025.92 = 8,193.77/x
  3. Step 3: Cross multiply
    21,344.46x = 32,025.92 × 8,193.77
  4. Step 4: Simplify right side
    21,344.46x = 262,412,941.52
  5. Step 5: Solve for x
    x = 262,412,941.52/21,344.46
  6. Step 6: Final answer
    x = 12,294.20

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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.