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Finding the Fourth Proportional to 17,475, 26,209.86 and 5,786.76

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Solution

The fourth proportional to 17,475, 26,209.86 and 5,786.76 is: 8,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,475 : 26,209.86 = 5,786.76 : x
  2. Step 2: Convert to fraction form
    17,475/26,209.86 = 5,786.76/x
  3. Step 3: Cross multiply
    17,475x = 26,209.86 × 5,786.76
  4. Step 4: Simplify right side
    17,475x = 151,670,169.45
  5. Step 5: Solve for x
    x = 151,670,169.45/17,475
  6. Step 6: Final answer
    x = 8,679.27

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