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Finding the Fourth Proportional to 24,729.48, 37,099.08 and 9,147.24

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Solution

The fourth proportional to 24,729.48, 37,099.08 and 9,147.24 is: 13,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729.48 : 37,099.08 = 9,147.24 : x
  2. Step 2: Convert to fraction form
    24,729.48/37,099.08 = 9,147.24/x
  3. Step 3: Cross multiply
    24,729.48x = 37,099.08 × 9,147.24
  4. Step 4: Simplify right side
    24,729.48x = 339,354,188.54
  5. Step 5: Solve for x
    x = 339,354,188.54/24,729.48
  6. Step 6: Final answer
    x = 13,722.66

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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.