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Finding the Fourth Proportional to 11,478.54, 17,224.45 and 4,814.44

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Solution

The fourth proportional to 11,478.54, 17,224.45 and 4,814.44 is: 7,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.54 : 17,224.45 = 4,814.44 : x
  2. Step 2: Convert to fraction form
    11,478.54/17,224.45 = 4,814.44/x
  3. Step 3: Cross multiply
    11,478.54x = 17,224.45 × 4,814.44
  4. Step 4: Simplify right side
    11,478.54x = 82,926,129.09
  5. Step 5: Solve for x
    x = 82,926,129.09/11,478.54
  6. Step 6: Final answer
    x = 7,224.45

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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.