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Finding the Fourth Proportional to 14,468.82, 19,967.31 and 8,181.42

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Solution

The fourth proportional to 14,468.82, 19,967.31 and 8,181.42 is: 11,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.82 : 19,967.31 = 8,181.42 : x
  2. Step 2: Convert to fraction form
    14,468.82/19,967.31 = 8,181.42/x
  3. Step 3: Cross multiply
    14,468.82x = 19,967.31 × 8,181.42
  4. Step 4: Simplify right side
    14,468.82x = 163,360,949.38
  5. Step 5: Solve for x
    x = 163,360,949.38/14,468.82
  6. Step 6: Final answer
    x = 11,290.55

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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.