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Finding the Fourth Proportional to 19,691.70, 29,529.78 and 8,590.78

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Solution

The fourth proportional to 19,691.70, 29,529.78 and 8,590.78 is: 12,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.70 : 29,529.78 = 8,590.78 : x
  2. Step 2: Convert to fraction form
    19,691.70/29,529.78 = 8,590.78/x
  3. Step 3: Cross multiply
    19,691.70x = 29,529.78 × 8,590.78
  4. Step 4: Simplify right side
    19,691.70x = 253,683,843.43
  5. Step 5: Solve for x
    x = 253,683,843.43/19,691.70
  6. Step 6: Final answer
    x = 12,882.78

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