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Finding the Fourth Proportional to 10,839.70, 16,223.10 and 9,964.90

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Solution

The fourth proportional to 10,839.70, 16,223.10 and 9,964.90 is: 14,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.70 : 16,223.10 = 9,964.90 : x
  2. Step 2: Convert to fraction form
    10,839.70/16,223.10 = 9,964.90/x
  3. Step 3: Cross multiply
    10,839.70x = 16,223.10 × 9,964.90
  4. Step 4: Simplify right side
    10,839.70x = 161,661,569.19
  5. Step 5: Solve for x
    x = 161,661,569.19/10,839.70
  6. Step 6: Final answer
    x = 14,913.84

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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.