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Finding the Fourth Proportional to 19,710.78, 29,566.14 and 5,859.78

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Solution

The fourth proportional to 19,710.78, 29,566.14 and 5,859.78 is: 8,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.78 : 29,566.14 = 5,859.78 : x
  2. Step 2: Convert to fraction form
    19,710.78/29,566.14 = 5,859.78/x
  3. Step 3: Cross multiply
    19,710.78x = 29,566.14 × 5,859.78
  4. Step 4: Simplify right side
    19,710.78x = 173,251,075.85
  5. Step 5: Solve for x
    x = 173,251,075.85/19,710.78
  6. Step 6: Final answer
    x = 8,789.66

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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.