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Finding the Fourth Proportional to 24,769.53, 37,157.11 and 8,982

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Solution

The fourth proportional to 24,769.53, 37,157.11 and 8,982 is: 13,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.53 : 37,157.11 = 8,982 : x
  2. Step 2: Convert to fraction form
    24,769.53/37,157.11 = 8,982/x
  3. Step 3: Cross multiply
    24,769.53x = 37,157.11 × 8,982
  4. Step 4: Simplify right side
    24,769.53x = 333,745,162.02
  5. Step 5: Solve for x
    x = 333,745,162.02/24,769.53
  6. Step 6: Final answer
    x = 13,474.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.