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Finding the Fourth Proportional to 25,522.25, 38,227.96 and 12,346.99

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Solution

The fourth proportional to 25,522.25, 38,227.96 and 12,346.99 is: 18,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,522.25 : 38,227.96 = 12,346.99 : x
  2. Step 2: Convert to fraction form
    25,522.25/38,227.96 = 12,346.99/x
  3. Step 3: Cross multiply
    25,522.25x = 38,227.96 × 12,346.99
  4. Step 4: Simplify right side
    25,522.25x = 472,000,239.84
  5. Step 5: Solve for x
    x = 472,000,239.84/25,522.25
  6. Step 6: Final answer
    x = 18,493.68

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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.