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Finding the Fourth Proportional to 19,879.65, 29,812.19 and 5,836.08

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Solution

The fourth proportional to 19,879.65, 29,812.19 and 5,836.08 is: 8,751.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.65 : 29,812.19 = 5,836.08 : x
  2. Step 2: Convert to fraction form
    19,879.65/29,812.19 = 5,836.08/x
  3. Step 3: Cross multiply
    19,879.65x = 29,812.19 × 5,836.08
  4. Step 4: Simplify right side
    19,879.65x = 173,986,296.63
  5. Step 5: Solve for x
    x = 173,986,296.63/19,879.65
  6. Step 6: Final answer
    x = 8,751.98

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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.