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Finding the Fourth Proportional to 19,516.70, 29,279.10 and 7,830.83

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Solution

The fourth proportional to 19,516.70, 29,279.10 and 7,830.83 is: 11,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516.70 : 29,279.10 = 7,830.83 : x
  2. Step 2: Convert to fraction form
    19,516.70/29,279.10 = 7,830.83/x
  3. Step 3: Cross multiply
    19,516.70x = 29,279.10 × 7,830.83
  4. Step 4: Simplify right side
    19,516.70x = 229,279,757.22
  5. Step 5: Solve for x
    x = 229,279,757.22/19,516.70
  6. Step 6: Final answer
    x = 11,747.87

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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.