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Finding the Fourth Proportional to 20,578.86, 30,873.29 and 8,095.68

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Solution

The fourth proportional to 20,578.86, 30,873.29 and 8,095.68 is: 12,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.86 : 30,873.29 = 8,095.68 : x
  2. Step 2: Convert to fraction form
    20,578.86/30,873.29 = 8,095.68/x
  3. Step 3: Cross multiply
    20,578.86x = 30,873.29 × 8,095.68
  4. Step 4: Simplify right side
    20,578.86x = 249,940,235.91
  5. Step 5: Solve for x
    x = 249,940,235.91/20,578.86
  6. Step 6: Final answer
    x = 12,145.49

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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.