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Finding the Fourth Proportional to 20,725.84, 31,079.61 and 7,578.31

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Solution

The fourth proportional to 20,725.84, 31,079.61 and 7,578.31 is: 11,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,725.84 : 31,079.61 = 7,578.31 : x
  2. Step 2: Convert to fraction form
    20,725.84/31,079.61 = 7,578.31/x
  3. Step 3: Cross multiply
    20,725.84x = 31,079.61 × 7,578.31
  4. Step 4: Simplify right side
    20,725.84x = 235,530,919.26
  5. Step 5: Solve for x
    x = 235,530,919.26/20,725.84
  6. Step 6: Final answer
    x = 11,364.12

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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.