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Finding the Fourth Proportional to 12,004.29, 18,008.10 and 4,213.71

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Solution

The fourth proportional to 12,004.29, 18,008.10 and 4,213.71 is: 6,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.29 : 18,008.10 = 4,213.71 : x
  2. Step 2: Convert to fraction form
    12,004.29/18,008.10 = 4,213.71/x
  3. Step 3: Cross multiply
    12,004.29x = 18,008.10 × 4,213.71
  4. Step 4: Simplify right side
    12,004.29x = 75,880,911.05
  5. Step 5: Solve for x
    x = 75,880,911.05/12,004.29
  6. Step 6: Final answer
    x = 6,321.15

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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.