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Finding the Fourth Proportional to 12,006.92, 17,998.08 and 4,609.46

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Solution

The fourth proportional to 12,006.92, 17,998.08 and 4,609.46 is: 6,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.92 : 17,998.08 = 4,609.46 : x
  2. Step 2: Convert to fraction form
    12,006.92/17,998.08 = 4,609.46/x
  3. Step 3: Cross multiply
    12,006.92x = 17,998.08 × 4,609.46
  4. Step 4: Simplify right side
    12,006.92x = 82,961,429.84
  5. Step 5: Solve for x
    x = 82,961,429.84/12,006.92
  6. Step 6: Final answer
    x = 6,909.47

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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.