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Finding the Fourth Proportional to 14,635.38, 20,197.14 and 8,260.76

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Solution

The fourth proportional to 14,635.38, 20,197.14 and 8,260.76 is: 11,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,635.38 : 20,197.14 = 8,260.76 : x
  2. Step 2: Convert to fraction form
    14,635.38/20,197.14 = 8,260.76/x
  3. Step 3: Cross multiply
    14,635.38x = 20,197.14 × 8,260.76
  4. Step 4: Simplify right side
    14,635.38x = 166,843,625.24
  5. Step 5: Solve for x
    x = 166,843,625.24/14,635.38
  6. Step 6: Final answer
    x = 11,400.02

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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.