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Finding the Fourth Proportional to 14,014.16, 20,997.89 and 9,846.71

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Solution

The fourth proportional to 14,014.16, 20,997.89 and 9,846.71 is: 14,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.16 : 20,997.89 = 9,846.71 : x
  2. Step 2: Convert to fraction form
    14,014.16/20,997.89 = 9,846.71/x
  3. Step 3: Cross multiply
    14,014.16x = 20,997.89 × 9,846.71
  4. Step 4: Simplify right side
    14,014.16x = 206,760,084.21
  5. Step 5: Solve for x
    x = 206,760,084.21/14,014.16
  6. Step 6: Final answer
    x = 14,753.66

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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.