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Finding the Fourth Proportional to 27,145.17, 40,692.23 and 13,994.01

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Solution

The fourth proportional to 27,145.17, 40,692.23 and 13,994.01 is: 20,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,145.17 : 40,692.23 = 13,994.01 : x
  2. Step 2: Convert to fraction form
    27,145.17/40,692.23 = 13,994.01/x
  3. Step 3: Cross multiply
    27,145.17x = 40,692.23 × 13,994.01
  4. Step 4: Simplify right side
    27,145.17x = 569,447,403.57
  5. Step 5: Solve for x
    x = 569,447,403.57/27,145.17
  6. Step 6: Final answer
    x = 20,977.85

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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.