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Finding the Fourth Proportional to 12,165.09, 18,126.71 and 10,838.65

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Solution

The fourth proportional to 12,165.09, 18,126.71 and 10,838.65 is: 16,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.09 : 18,126.71 = 10,838.65 : x
  2. Step 2: Convert to fraction form
    12,165.09/18,126.71 = 10,838.65/x
  3. Step 3: Cross multiply
    12,165.09x = 18,126.71 × 10,838.65
  4. Step 4: Simplify right side
    12,165.09x = 196,469,065.34
  5. Step 5: Solve for x
    x = 196,469,065.34/12,165.09
  6. Step 6: Final answer
    x = 16,150.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.