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Finding the Fourth Proportional to 12,006.30, 18,000.53 and 5,760.36

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Solution

The fourth proportional to 12,006.30, 18,000.53 and 5,760.36 is: 8,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.30 : 18,000.53 = 5,760.36 : x
  2. Step 2: Convert to fraction form
    12,006.30/18,000.53 = 5,760.36/x
  3. Step 3: Cross multiply
    12,006.30x = 18,000.53 × 5,760.36
  4. Step 4: Simplify right side
    12,006.30x = 103,689,532.99
  5. Step 5: Solve for x
    x = 103,689,532.99/12,006.30
  6. Step 6: Final answer
    x = 8,636.26

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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.