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Finding the Fourth Proportional to 25,369.83, 38,052.41 and 7,837.92

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Solution

The fourth proportional to 25,369.83, 38,052.41 and 7,837.92 is: 11,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,369.83 : 38,052.41 = 7,837.92 : x
  2. Step 2: Convert to fraction form
    25,369.83/38,052.41 = 7,837.92/x
  3. Step 3: Cross multiply
    25,369.83x = 38,052.41 × 7,837.92
  4. Step 4: Simplify right side
    25,369.83x = 298,251,706.20
  5. Step 5: Solve for x
    x = 298,251,706.20/25,369.83
  6. Step 6: Final answer
    x = 11,756.16

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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.