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Finding the Fourth Proportional to 12,002.99, 18,014.11 and 5,429.75

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Solution

The fourth proportional to 12,002.99, 18,014.11 and 5,429.75 is: 8,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.99 : 18,014.11 = 5,429.75 : x
  2. Step 2: Convert to fraction form
    12,002.99/18,014.11 = 5,429.75/x
  3. Step 3: Cross multiply
    12,002.99x = 18,014.11 × 5,429.75
  4. Step 4: Simplify right side
    12,002.99x = 97,812,010.13
  5. Step 5: Solve for x
    x = 97,812,010.13/12,002.99
  6. Step 6: Final answer
    x = 8,148.97

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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.