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Finding the Fourth Proportional to 19,654.65, 29,494.13 and 7,967.97

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Solution

The fourth proportional to 19,654.65, 29,494.13 and 7,967.97 is: 11,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.65 : 29,494.13 = 7,967.97 : x
  2. Step 2: Convert to fraction form
    19,654.65/29,494.13 = 7,967.97/x
  3. Step 3: Cross multiply
    19,654.65x = 29,494.13 × 7,967.97
  4. Step 4: Simplify right side
    19,654.65x = 235,008,303.18
  5. Step 5: Solve for x
    x = 235,008,303.18/19,654.65
  6. Step 6: Final answer
    x = 11,956.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.