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Finding the Fourth Proportional to 25,853.97, 38,756.28 and 8,311.50

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Solution

The fourth proportional to 25,853.97, 38,756.28 and 8,311.50 is: 12,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853.97 : 38,756.28 = 8,311.50 : x
  2. Step 2: Convert to fraction form
    25,853.97/38,756.28 = 8,311.50/x
  3. Step 3: Cross multiply
    25,853.97x = 38,756.28 × 8,311.50
  4. Step 4: Simplify right side
    25,853.97x = 322,122,821.22
  5. Step 5: Solve for x
    x = 322,122,821.22/25,853.97
  6. Step 6: Final answer
    x = 12,459.32

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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.