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Finding the Fourth Proportional to 12,304.50, 18,462.18 and 6,459.78

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Solution

The fourth proportional to 12,304.50, 18,462.18 and 6,459.78 is: 9,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.50 : 18,462.18 = 6,459.78 : x
  2. Step 2: Convert to fraction form
    12,304.50/18,462.18 = 6,459.78/x
  3. Step 3: Cross multiply
    12,304.50x = 18,462.18 × 6,459.78
  4. Step 4: Simplify right side
    12,304.50x = 119,261,621.12
  5. Step 5: Solve for x
    x = 119,261,621.12/12,304.50
  6. Step 6: Final answer
    x = 9,692.52

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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.