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Finding the Fourth Proportional to 19,873.19, 29,815.74 and 8,020.86

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Solution

The fourth proportional to 19,873.19, 29,815.74 and 8,020.86 is: 12,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.19 : 29,815.74 = 8,020.86 : x
  2. Step 2: Convert to fraction form
    19,873.19/29,815.74 = 8,020.86/x
  3. Step 3: Cross multiply
    19,873.19x = 29,815.74 × 8,020.86
  4. Step 4: Simplify right side
    19,873.19x = 239,147,876.34
  5. Step 5: Solve for x
    x = 239,147,876.34/19,873.19
  6. Step 6: Final answer
    x = 12,033.70

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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.