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Finding the Fourth Proportional to 25,373.62, 38,064.08 and 7,844.82

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Solution

The fourth proportional to 25,373.62, 38,064.08 and 7,844.82 is: 11,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,373.62 : 38,064.08 = 7,844.82 : x
  2. Step 2: Convert to fraction form
    25,373.62/38,064.08 = 7,844.82/x
  3. Step 3: Cross multiply
    25,373.62x = 38,064.08 × 7,844.82
  4. Step 4: Simplify right side
    25,373.62x = 298,605,856.07
  5. Step 5: Solve for x
    x = 298,605,856.07/25,373.62
  6. Step 6: Final answer
    x = 11,768.36

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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.