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Finding the Fourth Proportional to 24,944.72, 37,416 and 6,224.84

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Solution

The fourth proportional to 24,944.72, 37,416 and 6,224.84 is: 9,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,944.72 : 37,416 = 6,224.84 : x
  2. Step 2: Convert to fraction form
    24,944.72/37,416 = 6,224.84/x
  3. Step 3: Cross multiply
    24,944.72x = 37,416 × 6,224.84
  4. Step 4: Simplify right side
    24,944.72x = 232,908,613.44
  5. Step 5: Solve for x
    x = 232,908,613.44/24,944.72
  6. Step 6: Final answer
    x = 9,336.99

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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.