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Finding the Fourth Proportional to 19,863.90, 29,789.17 and 8,014.61

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Solution

The fourth proportional to 19,863.90, 29,789.17 and 8,014.61 is: 12,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,863.90 : 29,789.17 = 8,014.61 : x
  2. Step 2: Convert to fraction form
    19,863.90/29,789.17 = 8,014.61/x
  3. Step 3: Cross multiply
    19,863.90x = 29,789.17 × 8,014.61
  4. Step 4: Simplify right side
    19,863.90x = 238,748,634.21
  5. Step 5: Solve for x
    x = 238,748,634.21/19,863.90
  6. Step 6: Final answer
    x = 12,019.22

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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.