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Finding the Fourth Proportional to 27,414.39, 41,124.16 and 7,692.86

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Solution

The fourth proportional to 27,414.39, 41,124.16 and 7,692.86 is: 11,540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.39 : 41,124.16 = 7,692.86 : x
  2. Step 2: Convert to fraction form
    27,414.39/41,124.16 = 7,692.86/x
  3. Step 3: Cross multiply
    27,414.39x = 41,124.16 × 7,692.86
  4. Step 4: Simplify right side
    27,414.39x = 316,362,405.50
  5. Step 5: Solve for x
    x = 316,362,405.50/27,414.39
  6. Step 6: Final answer
    x = 11,540.01

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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.