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Finding the Fourth Proportional to 24,173.46, 36,265.32 and 7,533.09

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Solution

The fourth proportional to 24,173.46, 36,265.32 and 7,533.09 is: 11,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,173.46 : 36,265.32 = 7,533.09 : x
  2. Step 2: Convert to fraction form
    24,173.46/36,265.32 = 7,533.09/x
  3. Step 3: Cross multiply
    24,173.46x = 36,265.32 × 7,533.09
  4. Step 4: Simplify right side
    24,173.46x = 273,189,919.44
  5. Step 5: Solve for x
    x = 273,189,919.44/24,173.46
  6. Step 6: Final answer
    x = 11,301.23

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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.