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Finding the Fourth Proportional to 27,692.88, 41,562.90 and 11,064.57

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Solution

The fourth proportional to 27,692.88, 41,562.90 and 11,064.57 is: 16,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.88 : 41,562.90 = 11,064.57 : x
  2. Step 2: Convert to fraction form
    27,692.88/41,562.90 = 11,064.57/x
  3. Step 3: Cross multiply
    27,692.88x = 41,562.90 × 11,064.57
  4. Step 4: Simplify right side
    27,692.88x = 459,875,616.45
  5. Step 5: Solve for x
    x = 459,875,616.45/27,692.88
  6. Step 6: Final answer
    x = 16,606.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.