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Finding the Fourth Proportional to 25,894.73, 38,842.61 and 8,125.02

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Solution

The fourth proportional to 25,894.73, 38,842.61 and 8,125.02 is: 12,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.73 : 38,842.61 = 8,125.02 : x
  2. Step 2: Convert to fraction form
    25,894.73/38,842.61 = 8,125.02/x
  3. Step 3: Cross multiply
    25,894.73x = 38,842.61 × 8,125.02
  4. Step 4: Simplify right side
    25,894.73x = 315,596,942.48
  5. Step 5: Solve for x
    x = 315,596,942.48/25,894.73
  6. Step 6: Final answer
    x = 12,187.69

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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.