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Finding the Fourth Proportional to 25,612.24, 38,416.97 and 9,824.84

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Solution

The fourth proportional to 25,612.24, 38,416.97 and 9,824.84 is: 14,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,612.24 : 38,416.97 = 9,824.84 : x
  2. Step 2: Convert to fraction form
    25,612.24/38,416.97 = 9,824.84/x
  3. Step 3: Cross multiply
    25,612.24x = 38,416.97 × 9,824.84
  4. Step 4: Simplify right side
    25,612.24x = 377,440,583.53
  5. Step 5: Solve for x
    x = 377,440,583.53/25,612.24
  6. Step 6: Final answer
    x = 14,736.73

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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.