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Finding the Fourth Proportional to 24,816.83, 37,225.78 and 7,286.66

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Solution

The fourth proportional to 24,816.83, 37,225.78 and 7,286.66 is: 10,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,816.83 : 37,225.78 = 7,286.66 : x
  2. Step 2: Convert to fraction form
    24,816.83/37,225.78 = 7,286.66/x
  3. Step 3: Cross multiply
    24,816.83x = 37,225.78 × 7,286.66
  4. Step 4: Simplify right side
    24,816.83x = 271,251,537.35
  5. Step 5: Solve for x
    x = 271,251,537.35/24,816.83
  6. Step 6: Final answer
    x = 10,930.14

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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.