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Finding the Fourth Proportional to 25,147.68, 37,722 and 7,617.44

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Solution

The fourth proportional to 25,147.68, 37,722 and 7,617.44 is: 11,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,147.68 : 37,722 = 7,617.44 : x
  2. Step 2: Convert to fraction form
    25,147.68/37,722 = 7,617.44/x
  3. Step 3: Cross multiply
    25,147.68x = 37,722 × 7,617.44
  4. Step 4: Simplify right side
    25,147.68x = 287,345,071.68
  5. Step 5: Solve for x
    x = 287,345,071.68/25,147.68
  6. Step 6: Final answer
    x = 11,426.31

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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.