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Finding the Fourth Proportional to 24,704.54, 37,056.82 and 5,984.58

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Solution

The fourth proportional to 24,704.54, 37,056.82 and 5,984.58 is: 8,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704.54 : 37,056.82 = 5,984.58 : x
  2. Step 2: Convert to fraction form
    24,704.54/37,056.82 = 5,984.58/x
  3. Step 3: Cross multiply
    24,704.54x = 37,056.82 × 5,984.58
  4. Step 4: Simplify right side
    24,704.54x = 221,769,622.23
  5. Step 5: Solve for x
    x = 221,769,622.23/24,704.54
  6. Step 6: Final answer
    x = 8,976.88

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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.