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Finding the Fourth Proportional to 14,938.12, 20,614.68 and 8,224.42

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Solution

The fourth proportional to 14,938.12, 20,614.68 and 8,224.42 is: 11,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,938.12 : 20,614.68 = 8,224.42 : x
  2. Step 2: Convert to fraction form
    14,938.12/20,614.68 = 8,224.42/x
  3. Step 3: Cross multiply
    14,938.12x = 20,614.68 × 8,224.42
  4. Step 4: Simplify right side
    14,938.12x = 169,543,786.49
  5. Step 5: Solve for x
    x = 169,543,786.49/14,938.12
  6. Step 6: Final answer
    x = 11,349.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.