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Finding the Fourth Proportional to 11,657.93, 16,069.44 and 10,692.61

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Solution

The fourth proportional to 11,657.93, 16,069.44 and 10,692.61 is: 14,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.93 : 16,069.44 = 10,692.61 : x
  2. Step 2: Convert to fraction form
    11,657.93/16,069.44 = 10,692.61/x
  3. Step 3: Cross multiply
    11,657.93x = 16,069.44 × 10,692.61
  4. Step 4: Simplify right side
    11,657.93x = 171,824,194.62
  5. Step 5: Solve for x
    x = 171,824,194.62/11,657.93
  6. Step 6: Final answer
    x = 14,738.83

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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.