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Finding the Fourth Proportional to 25,738.25, 38,606.96 and 8,207.96

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Solution

The fourth proportional to 25,738.25, 38,606.96 and 8,207.96 is: 12,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,738.25 : 38,606.96 = 8,207.96 : x
  2. Step 2: Convert to fraction form
    25,738.25/38,606.96 = 8,207.96/x
  3. Step 3: Cross multiply
    25,738.25x = 38,606.96 × 8,207.96
  4. Step 4: Simplify right side
    25,738.25x = 316,884,210.89
  5. Step 5: Solve for x
    x = 316,884,210.89/25,738.25
  6. Step 6: Final answer
    x = 12,311.80

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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.