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Finding the Fourth Proportional to 14,602.08, 20,147.20 and 8,227.38

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Solution

The fourth proportional to 14,602.08, 20,147.20 and 8,227.38 is: 11,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.08 : 20,147.20 = 8,227.38 : x
  2. Step 2: Convert to fraction form
    14,602.08/20,147.20 = 8,227.38/x
  3. Step 3: Cross multiply
    14,602.08x = 20,147.20 × 8,227.38
  4. Step 4: Simplify right side
    14,602.08x = 165,758,670.34
  5. Step 5: Solve for x
    x = 165,758,670.34/14,602.08
  6. Step 6: Final answer
    x = 11,351.72

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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.