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Finding the Fourth Proportional to 10,229.16, 14,156.82 and 9,983.82

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Solution

The fourth proportional to 10,229.16, 14,156.82 and 9,983.82 is: 13,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.16 : 14,156.82 = 9,983.82 : x
  2. Step 2: Convert to fraction form
    10,229.16/14,156.82 = 9,983.82/x
  3. Step 3: Cross multiply
    10,229.16x = 14,156.82 × 9,983.82
  4. Step 4: Simplify right side
    10,229.16x = 141,339,142.65
  5. Step 5: Solve for x
    x = 141,339,142.65/10,229.16
  6. Step 6: Final answer
    x = 13,817.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.