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Finding the Fourth Proportional to 25,114.92, 37,646.12 and 8,469.20

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Solution

The fourth proportional to 25,114.92, 37,646.12 and 8,469.20 is: 12,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.92 : 37,646.12 = 8,469.20 : x
  2. Step 2: Convert to fraction form
    25,114.92/37,646.12 = 8,469.20/x
  3. Step 3: Cross multiply
    25,114.92x = 37,646.12 × 8,469.20
  4. Step 4: Simplify right side
    25,114.92x = 318,832,519.50
  5. Step 5: Solve for x
    x = 318,832,519.50/25,114.92
  6. Step 6: Final answer
    x = 12,694.94

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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.