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Finding the Fourth Proportional to 11,645.94, 17,384.34 and 10,778.61

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Solution

The fourth proportional to 11,645.94, 17,384.34 and 10,778.61 is: 16,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.94 : 17,384.34 = 10,778.61 : x
  2. Step 2: Convert to fraction form
    11,645.94/17,384.34 = 10,778.61/x
  3. Step 3: Cross multiply
    11,645.94x = 17,384.34 × 10,778.61
  4. Step 4: Simplify right side
    11,645.94x = 187,379,020.97
  5. Step 5: Solve for x
    x = 187,379,020.97/11,645.94
  6. Step 6: Final answer
    x = 16,089.64

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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.