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Finding the Fourth Proportional to 25,894.74, 38,821.02 and 8,116.27

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Solution

The fourth proportional to 25,894.74, 38,821.02 and 8,116.27 is: 12,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.74 : 38,821.02 = 8,116.27 : x
  2. Step 2: Convert to fraction form
    25,894.74/38,821.02 = 8,116.27/x
  3. Step 3: Cross multiply
    25,894.74x = 38,821.02 × 8,116.27
  4. Step 4: Simplify right side
    25,894.74x = 315,081,880.00
  5. Step 5: Solve for x
    x = 315,081,880.00/25,894.74
  6. Step 6: Final answer
    x = 12,167.79

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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.