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Finding the Fourth Proportional to 18,461.86, 27,692.07 and 6,149.86

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Solution

The fourth proportional to 18,461.86, 27,692.07 and 6,149.86 is: 9,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,461.86 : 27,692.07 = 6,149.86 : x
  2. Step 2: Convert to fraction form
    18,461.86/27,692.07 = 6,149.86/x
  3. Step 3: Cross multiply
    18,461.86x = 27,692.07 × 6,149.86
  4. Step 4: Simplify right side
    18,461.86x = 170,302,353.61
  5. Step 5: Solve for x
    x = 170,302,353.61/18,461.86
  6. Step 6: Final answer
    x = 9,224.55

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