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Finding the Fourth Proportional to 24,107.27, 36,164.34 and 7,468.61

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Solution

The fourth proportional to 24,107.27, 36,164.34 and 7,468.61 is: 11,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107.27 : 36,164.34 = 7,468.61 : x
  2. Step 2: Convert to fraction form
    24,107.27/36,164.34 = 7,468.61/x
  3. Step 3: Cross multiply
    24,107.27x = 36,164.34 × 7,468.61
  4. Step 4: Simplify right side
    24,107.27x = 270,097,351.37
  5. Step 5: Solve for x
    x = 270,097,351.37/24,107.27
  6. Step 6: Final answer
    x = 11,203.98

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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.