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Finding the Fourth Proportional to 13,449.66, 20,177.72 and 4,215.66

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Solution

The fourth proportional to 13,449.66, 20,177.72 and 4,215.66 is: 6,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.66 : 20,177.72 = 4,215.66 : x
  2. Step 2: Convert to fraction form
    13,449.66/20,177.72 = 4,215.66/x
  3. Step 3: Cross multiply
    13,449.66x = 20,177.72 × 4,215.66
  4. Step 4: Simplify right side
    13,449.66x = 85,062,349.87
  5. Step 5: Solve for x
    x = 85,062,349.87/13,449.66
  6. Step 6: Final answer
    x = 6,324.50

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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.