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Finding the Fourth Proportional to 25,814.25, 38,716.74 and 6,839.01

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Solution

The fourth proportional to 25,814.25, 38,716.74 and 6,839.01 is: 10,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814.25 : 38,716.74 = 6,839.01 : x
  2. Step 2: Convert to fraction form
    25,814.25/38,716.74 = 6,839.01/x
  3. Step 3: Cross multiply
    25,814.25x = 38,716.74 × 6,839.01
  4. Step 4: Simplify right side
    25,814.25x = 264,784,172.03
  5. Step 5: Solve for x
    x = 264,784,172.03/25,814.25
  6. Step 6: Final answer
    x = 10,257.29

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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.