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Finding the Fourth Proportional to 21,453.46, 32,167.13 and 9,604.98

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Solution

The fourth proportional to 21,453.46, 32,167.13 and 9,604.98 is: 14,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,453.46 : 32,167.13 = 9,604.98 : x
  2. Step 2: Convert to fraction form
    21,453.46/32,167.13 = 9,604.98/x
  3. Step 3: Cross multiply
    21,453.46x = 32,167.13 × 9,604.98
  4. Step 4: Simplify right side
    21,453.46x = 308,964,592.28
  5. Step 5: Solve for x
    x = 308,964,592.28/21,453.46
  6. Step 6: Final answer
    x = 14,401.62

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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.