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Finding the Fourth Proportional to 12,008.01, 18,012 and 6,674.58

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Solution

The fourth proportional to 12,008.01, 18,012 and 6,674.58 is: 10,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.01 : 18,012 = 6,674.58 : x
  2. Step 2: Convert to fraction form
    12,008.01/18,012 = 6,674.58/x
  3. Step 3: Cross multiply
    12,008.01x = 18,012 × 6,674.58
  4. Step 4: Simplify right side
    12,008.01x = 120,222,534.96
  5. Step 5: Solve for x
    x = 120,222,534.96/12,008.01
  6. Step 6: Final answer
    x = 10,011.86

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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.