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Finding the Fourth Proportional to 14,432.22, 19,917.99 and 8,143.38

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Solution

The fourth proportional to 14,432.22, 19,917.99 and 8,143.38 is: 11,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.22 : 19,917.99 = 8,143.38 : x
  2. Step 2: Convert to fraction form
    14,432.22/19,917.99 = 8,143.38/x
  3. Step 3: Cross multiply
    14,432.22x = 19,917.99 × 8,143.38
  4. Step 4: Simplify right side
    14,432.22x = 162,199,761.41
  5. Step 5: Solve for x
    x = 162,199,761.41/14,432.22
  6. Step 6: Final answer
    x = 11,238.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.