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Finding the Fourth Proportional to 20,271.72, 30,410.78 and 8,585

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Solution

The fourth proportional to 20,271.72, 30,410.78 and 8,585 is: 12,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.72 : 30,410.78 = 8,585 : x
  2. Step 2: Convert to fraction form
    20,271.72/30,410.78 = 8,585/x
  3. Step 3: Cross multiply
    20,271.72x = 30,410.78 × 8,585
  4. Step 4: Simplify right side
    20,271.72x = 261,076,546.30
  5. Step 5: Solve for x
    x = 261,076,546.30/20,271.72
  6. Step 6: Final answer
    x = 12,878.86

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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.