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Finding the Fourth Proportional to 14,692.38, 20,275.48 and 8,404.75

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Solution

The fourth proportional to 14,692.38, 20,275.48 and 8,404.75 is: 11,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.38 : 20,275.48 = 8,404.75 : x
  2. Step 2: Convert to fraction form
    14,692.38/20,275.48 = 8,404.75/x
  3. Step 3: Cross multiply
    14,692.38x = 20,275.48 × 8,404.75
  4. Step 4: Simplify right side
    14,692.38x = 170,410,340.53
  5. Step 5: Solve for x
    x = 170,410,340.53/14,692.38
  6. Step 6: Final answer
    x = 11,598.55

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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.