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Finding the Fourth Proportional to 25,636.70, 38,455.05 and 8,111.90

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Solution

The fourth proportional to 25,636.70, 38,455.05 and 8,111.90 is: 12,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,636.70 : 38,455.05 = 8,111.90 : x
  2. Step 2: Convert to fraction form
    25,636.70/38,455.05 = 8,111.90/x
  3. Step 3: Cross multiply
    25,636.70x = 38,455.05 × 8,111.90
  4. Step 4: Simplify right side
    25,636.70x = 311,943,520.10
  5. Step 5: Solve for x
    x = 311,943,520.10/25,636.70
  6. Step 6: Final answer
    x = 12,167.85

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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.