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Finding the Fourth Proportional to 14,177.71, 19,563.27 and 8,207.20

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Solution

The fourth proportional to 14,177.71, 19,563.27 and 8,207.20 is: 11,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.71 : 19,563.27 = 8,207.20 : x
  2. Step 2: Convert to fraction form
    14,177.71/19,563.27 = 8,207.20/x
  3. Step 3: Cross multiply
    14,177.71x = 19,563.27 × 8,207.20
  4. Step 4: Simplify right side
    14,177.71x = 160,559,571.73
  5. Step 5: Solve for x
    x = 160,559,571.73/14,177.71
  6. Step 6: Final answer
    x = 11,324.79

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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.