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Finding the Fourth Proportional to 19,891.05, 29,834.35 and 5,100.31

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Solution

The fourth proportional to 19,891.05, 29,834.35 and 5,100.31 is: 7,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.05 : 29,834.35 = 5,100.31 : x
  2. Step 2: Convert to fraction form
    19,891.05/29,834.35 = 5,100.31/x
  3. Step 3: Cross multiply
    19,891.05x = 29,834.35 × 5,100.31
  4. Step 4: Simplify right side
    19,891.05x = 152,164,433.65
  5. Step 5: Solve for x
    x = 152,164,433.65/19,891.05
  6. Step 6: Final answer
    x = 7,649.89

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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.