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Finding the Fourth Proportional to 16,757.86, 25,141.68 and 8,000.14

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Solution

The fourth proportional to 16,757.86, 25,141.68 and 8,000.14 is: 12,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,757.86 : 25,141.68 = 8,000.14 : x
  2. Step 2: Convert to fraction form
    16,757.86/25,141.68 = 8,000.14/x
  3. Step 3: Cross multiply
    16,757.86x = 25,141.68 × 8,000.14
  4. Step 4: Simplify right side
    16,757.86x = 201,136,959.84
  5. Step 5: Solve for x
    x = 201,136,959.84/16,757.86
  6. Step 6: Final answer
    x = 12,002.54

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1.5x scale

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.