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Finding the Fourth Proportional to 24,769.42, 37,154 and 6,049.56

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Solution

The fourth proportional to 24,769.42, 37,154 and 6,049.56 is: 9,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.42 : 37,154 = 6,049.56 : x
  2. Step 2: Convert to fraction form
    24,769.42/37,154 = 6,049.56/x
  3. Step 3: Cross multiply
    24,769.42x = 37,154 × 6,049.56
  4. Step 4: Simplify right side
    24,769.42x = 224,765,352.24
  5. Step 5: Solve for x
    x = 224,765,352.24/24,769.42
  6. Step 6: Final answer
    x = 9,074.31

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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.