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Finding the Fourth Proportional to 20,582.74, 30,881.50 and 8,095.86

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Solution

The fourth proportional to 20,582.74, 30,881.50 and 8,095.86 is: 12,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.74 : 30,881.50 = 8,095.86 : x
  2. Step 2: Convert to fraction form
    20,582.74/30,881.50 = 8,095.86/x
  3. Step 3: Cross multiply
    20,582.74x = 30,881.50 × 8,095.86
  4. Step 4: Simplify right side
    20,582.74x = 250,012,300.59
  5. Step 5: Solve for x
    x = 250,012,300.59/20,582.74
  6. Step 6: Final answer
    x = 12,146.70

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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.