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Finding the Fourth Proportional to 12,066.30, 18,115.65 and 7,692.30

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Solution

The fourth proportional to 12,066.30, 18,115.65 and 7,692.30 is: 11,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.30 : 18,115.65 = 7,692.30 : x
  2. Step 2: Convert to fraction form
    12,066.30/18,115.65 = 7,692.30/x
  3. Step 3: Cross multiply
    12,066.30x = 18,115.65 × 7,692.30
  4. Step 4: Simplify right side
    12,066.30x = 139,351,014.50
  5. Step 5: Solve for x
    x = 139,351,014.50/12,066.30
  6. Step 6: Final answer
    x = 11,548.78

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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.