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Finding the Fourth Proportional to 23,692.62, 32,695.62 and 13,082.16

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Solution

The fourth proportional to 23,692.62, 32,695.62 and 13,082.16 is: 18,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.62 : 32,695.62 = 13,082.16 : x
  2. Step 2: Convert to fraction form
    23,692.62/32,695.62 = 13,082.16/x
  3. Step 3: Cross multiply
    23,692.62x = 32,695.62 × 13,082.16
  4. Step 4: Simplify right side
    23,692.62x = 427,729,332.14
  5. Step 5: Solve for x
    x = 427,729,332.14/23,692.62
  6. Step 6: Final answer
    x = 18,053.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.