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Finding the Fourth Proportional to 20,514.84, 30,772.50 and 5,722.86

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Solution

The fourth proportional to 20,514.84, 30,772.50 and 5,722.86 is: 8,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.84 : 30,772.50 = 5,722.86 : x
  2. Step 2: Convert to fraction form
    20,514.84/30,772.50 = 5,722.86/x
  3. Step 3: Cross multiply
    20,514.84x = 30,772.50 × 5,722.86
  4. Step 4: Simplify right side
    20,514.84x = 176,106,709.35
  5. Step 5: Solve for x
    x = 176,106,709.35/20,514.84
  6. Step 6: Final answer
    x = 8,584.36

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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.