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Finding the Fourth Proportional to 19,710.75, 29,566.14 and 5,859.75

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Solution

The fourth proportional to 19,710.75, 29,566.14 and 5,859.75 is: 8,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.75 : 29,566.14 = 5,859.75 : x
  2. Step 2: Convert to fraction form
    19,710.75/29,566.14 = 5,859.75/x
  3. Step 3: Cross multiply
    19,710.75x = 29,566.14 × 5,859.75
  4. Step 4: Simplify right side
    19,710.75x = 173,250,188.87
  5. Step 5: Solve for x
    x = 173,250,188.87/19,710.75
  6. Step 6: Final answer
    x = 8,789.63

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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.