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Finding the Fourth Proportional to 14,229.89, 21,350.99 and 5,462.76

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Solution

The fourth proportional to 14,229.89, 21,350.99 and 5,462.76 is: 8,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.89 : 21,350.99 = 5,462.76 : x
  2. Step 2: Convert to fraction form
    14,229.89/21,350.99 = 5,462.76/x
  3. Step 3: Cross multiply
    14,229.89x = 21,350.99 × 5,462.76
  4. Step 4: Simplify right side
    14,229.89x = 116,635,334.13
  5. Step 5: Solve for x
    x = 116,635,334.13/14,229.89
  6. Step 6: Final answer
    x = 8,196.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.