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Finding the Fourth Proportional to 14,111.82, 19,469.88 and 8,142.71

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Solution

The fourth proportional to 14,111.82, 19,469.88 and 8,142.71 is: 11,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.82 : 19,469.88 = 8,142.71 : x
  2. Step 2: Convert to fraction form
    14,111.82/19,469.88 = 8,142.71/x
  3. Step 3: Cross multiply
    14,111.82x = 19,469.88 × 8,142.71
  4. Step 4: Simplify right side
    14,111.82x = 158,537,489.23
  5. Step 5: Solve for x
    x = 158,537,489.23/14,111.82
  6. Step 6: Final answer
    x = 11,234.38

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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.