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Finding the Fourth Proportional to 11,836.50, 17,678 and 10,723.69

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Solution

The fourth proportional to 11,836.50, 17,678 and 10,723.69 is: 16,016.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.50 : 17,678 = 10,723.69 : x
  2. Step 2: Convert to fraction form
    11,836.50/17,678 = 10,723.69/x
  3. Step 3: Cross multiply
    11,836.50x = 17,678 × 10,723.69
  4. Step 4: Simplify right side
    11,836.50x = 189,573,391.82
  5. Step 5: Solve for x
    x = 189,573,391.82/11,836.50
  6. Step 6: Final answer
    x = 16,016.00

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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.