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Finding the Fourth Proportional to 25,682.36, 38,523.53 and 6,962.39

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Solution

The fourth proportional to 25,682.36, 38,523.53 and 6,962.39 is: 10,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,682.36 : 38,523.53 = 6,962.39 : x
  2. Step 2: Convert to fraction form
    25,682.36/38,523.53 = 6,962.39/x
  3. Step 3: Cross multiply
    25,682.36x = 38,523.53 × 6,962.39
  4. Step 4: Simplify right side
    25,682.36x = 268,215,612.61
  5. Step 5: Solve for x
    x = 268,215,612.61/25,682.36
  6. Step 6: Final answer
    x = 10,443.58

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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.