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Finding the Fourth Proportional to 12,404.24, 17,117.56 and 6,738.86

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Solution

The fourth proportional to 12,404.24, 17,117.56 and 6,738.86 is: 9,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404.24 : 17,117.56 = 6,738.86 : x
  2. Step 2: Convert to fraction form
    12,404.24/17,117.56 = 6,738.86/x
  3. Step 3: Cross multiply
    12,404.24x = 17,117.56 × 6,738.86
  4. Step 4: Simplify right side
    12,404.24x = 115,352,840.38
  5. Step 5: Solve for x
    x = 115,352,840.38/12,404.24
  6. Step 6: Final answer
    x = 9,299.47

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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.