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Finding the Fourth Proportional to 19,343.14, 29,016.72 and 8,251

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Solution

The fourth proportional to 19,343.14, 29,016.72 and 8,251 is: 12,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,343.14 : 29,016.72 = 8,251 : x
  2. Step 2: Convert to fraction form
    19,343.14/29,016.72 = 8,251/x
  3. Step 3: Cross multiply
    19,343.14x = 29,016.72 × 8,251
  4. Step 4: Simplify right side
    19,343.14x = 239,416,956.72
  5. Step 5: Solve for x
    x = 239,416,956.72/19,343.14
  6. Step 6: Final answer
    x = 12,377.36

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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.