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Finding the Fourth Proportional to 24,811.24, 37,216.74 and 9,016.24

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Solution

The fourth proportional to 24,811.24, 37,216.74 and 9,016.24 is: 13,524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811.24 : 37,216.74 = 9,016.24 : x
  2. Step 2: Convert to fraction form
    24,811.24/37,216.74 = 9,016.24/x
  3. Step 3: Cross multiply
    24,811.24x = 37,216.74 × 9,016.24
  4. Step 4: Simplify right side
    24,811.24x = 335,555,059.86
  5. Step 5: Solve for x
    x = 335,555,059.86/24,811.24
  6. Step 6: Final answer
    x = 13,524.32

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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.