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Finding the Fourth Proportional to 17,221.86, 25,829.75 and 4,738.86

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Solution

The fourth proportional to 17,221.86, 25,829.75 and 4,738.86 is: 7,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.86 : 25,829.75 = 4,738.86 : x
  2. Step 2: Convert to fraction form
    17,221.86/25,829.75 = 4,738.86/x
  3. Step 3: Cross multiply
    17,221.86x = 25,829.75 × 4,738.86
  4. Step 4: Simplify right side
    17,221.86x = 122,403,580.93
  5. Step 5: Solve for x
    x = 122,403,580.93/17,221.86
  6. Step 6: Final answer
    x = 7,107.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.