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Finding the Fourth Proportional to 11,692.32, 17,453.19 and 10,216.08

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Solution

The fourth proportional to 11,692.32, 17,453.19 and 10,216.08 is: 15,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.32 : 17,453.19 = 10,216.08 : x
  2. Step 2: Convert to fraction form
    11,692.32/17,453.19 = 10,216.08/x
  3. Step 3: Cross multiply
    11,692.32x = 17,453.19 × 10,216.08
  4. Step 4: Simplify right side
    11,692.32x = 178,303,185.30
  5. Step 5: Solve for x
    x = 178,303,185.30/11,692.32
  6. Step 6: Final answer
    x = 15,249.60

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Why These Related Problems?

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