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Finding the Fourth Proportional to 20,257.08, 30,381.76 and 8,578.50

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Solution

The fourth proportional to 20,257.08, 30,381.76 and 8,578.50 is: 12,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257.08 : 30,381.76 = 8,578.50 : x
  2. Step 2: Convert to fraction form
    20,257.08/30,381.76 = 8,578.50/x
  3. Step 3: Cross multiply
    20,257.08x = 30,381.76 × 8,578.50
  4. Step 4: Simplify right side
    20,257.08x = 260,629,928.16
  5. Step 5: Solve for x
    x = 260,629,928.16/20,257.08
  6. Step 6: Final answer
    x = 12,866.12

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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.