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Finding the Fourth Proportional to 24,968.26, 37,471.38 and 9,188.20

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Solution

The fourth proportional to 24,968.26, 37,471.38 and 9,188.20 is: 13,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,968.26 : 37,471.38 = 9,188.20 : x
  2. Step 2: Convert to fraction form
    24,968.26/37,471.38 = 9,188.20/x
  3. Step 3: Cross multiply
    24,968.26x = 37,471.38 × 9,188.20
  4. Step 4: Simplify right side
    24,968.26x = 344,294,533.72
  5. Step 5: Solve for x
    x = 344,294,533.72/24,968.26
  6. Step 6: Final answer
    x = 13,789.29

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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.