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Finding the Fourth Proportional to 12,006.87, 18,002.03 and 6,454.62

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Solution

The fourth proportional to 12,006.87, 18,002.03 and 6,454.62 is: 9,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.87 : 18,002.03 = 6,454.62 : x
  2. Step 2: Convert to fraction form
    12,006.87/18,002.03 = 6,454.62/x
  3. Step 3: Cross multiply
    12,006.87x = 18,002.03 × 6,454.62
  4. Step 4: Simplify right side
    12,006.87x = 116,196,262.88
  5. Step 5: Solve for x
    x = 116,196,262.88/12,006.87
  6. Step 6: Final answer
    x = 9,677.48

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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.