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Finding the Fourth Proportional to 25,857.64, 38,781.83 and 6,882.38

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Solution

The fourth proportional to 25,857.64, 38,781.83 and 6,882.38 is: 10,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.64 : 38,781.83 = 6,882.38 : x
  2. Step 2: Convert to fraction form
    25,857.64/38,781.83 = 6,882.38/x
  3. Step 3: Cross multiply
    25,857.64x = 38,781.83 × 6,882.38
  4. Step 4: Simplify right side
    25,857.64x = 266,911,114.45
  5. Step 5: Solve for x
    x = 266,911,114.45/25,857.64
  6. Step 6: Final answer
    x = 10,322.33

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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.