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Finding the Fourth Proportional to 25,864.94, 38,794.49 and 7,147.64

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Solution

The fourth proportional to 25,864.94, 38,794.49 and 7,147.64 is: 10,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864.94 : 38,794.49 = 7,147.64 : x
  2. Step 2: Convert to fraction form
    25,864.94/38,794.49 = 7,147.64/x
  3. Step 3: Cross multiply
    25,864.94x = 38,794.49 × 7,147.64
  4. Step 4: Simplify right side
    25,864.94x = 277,288,818.79
  5. Step 5: Solve for x
    x = 277,288,818.79/25,864.94
  6. Step 6: Final answer
    x = 10,720.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.