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Finding the Fourth Proportional to 12,002.24, 18,012.99 and 5,429.00

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Solution

The fourth proportional to 12,002.24, 18,012.99 and 5,429.00 is: 8,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.24 : 18,012.99 = 5,429.00 : x
  2. Step 2: Convert to fraction form
    12,002.24/18,012.99 = 5,429.00/x
  3. Step 3: Cross multiply
    12,002.24x = 18,012.99 × 5,429.00
  4. Step 4: Simplify right side
    12,002.24x = 97,792,432.65
  5. Step 5: Solve for x
    x = 97,792,432.65/12,002.24
  6. Step 6: Final answer
    x = 8,147.85

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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.