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Finding the Fourth Proportional to 27,692.16, 38,223.36 and 19,311.36

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Solution

The fourth proportional to 27,692.16, 38,223.36 and 19,311.36 is: 26,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.16 : 38,223.36 = 19,311.36 : x
  2. Step 2: Convert to fraction form
    27,692.16/38,223.36 = 19,311.36/x
  3. Step 3: Cross multiply
    27,692.16x = 38,223.36 × 19,311.36
  4. Step 4: Simplify right side
    27,692.16x = 738,145,065.37
  5. Step 5: Solve for x
    x = 738,145,065.37/27,692.16
  6. Step 6: Final answer
    x = 26,655.38

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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.