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Finding the Fourth Proportional to 14,379.84, 19,844.82 and 8,092.62

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Solution

The fourth proportional to 14,379.84, 19,844.82 and 8,092.62 is: 11,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,379.84 : 19,844.82 = 8,092.62 : x
  2. Step 2: Convert to fraction form
    14,379.84/19,844.82 = 8,092.62/x
  3. Step 3: Cross multiply
    14,379.84x = 19,844.82 × 8,092.62
  4. Step 4: Simplify right side
    14,379.84x = 160,596,587.23
  5. Step 5: Solve for x
    x = 160,596,587.23/14,379.84
  6. Step 6: Final answer
    x = 11,168.18

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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.