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Finding the Fourth Proportional to 14,098.62, 19,456.29 and 8,131.35

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Solution

The fourth proportional to 14,098.62, 19,456.29 and 8,131.35 is: 11,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.62 : 19,456.29 = 8,131.35 : x
  2. Step 2: Convert to fraction form
    14,098.62/19,456.29 = 8,131.35/x
  3. Step 3: Cross multiply
    14,098.62x = 19,456.29 × 8,131.35
  4. Step 4: Simplify right side
    14,098.62x = 158,205,903.69
  5. Step 5: Solve for x
    x = 158,205,903.69/14,098.62
  6. Step 6: Final answer
    x = 11,221.38

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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.