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Finding the Fourth Proportional to 14,336.57, 19,793.66 and 9,234.38

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Solution

The fourth proportional to 14,336.57, 19,793.66 and 9,234.38 is: 12,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,336.57 : 19,793.66 = 9,234.38 : x
  2. Step 2: Convert to fraction form
    14,336.57/19,793.66 = 9,234.38/x
  3. Step 3: Cross multiply
    14,336.57x = 19,793.66 × 9,234.38
  4. Step 4: Simplify right side
    14,336.57x = 182,782,032.89
  5. Step 5: Solve for x
    x = 182,782,032.89/14,336.57
  6. Step 6: Final answer
    x = 12,749.36

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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.