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Finding the Fourth Proportional to 24,605.44, 36,914.77 and 9,824.74

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Solution

The fourth proportional to 24,605.44, 36,914.77 and 9,824.74 is: 14,739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.44 : 36,914.77 = 9,824.74 : x
  2. Step 2: Convert to fraction form
    24,605.44/36,914.77 = 9,824.74/x
  3. Step 3: Cross multiply
    24,605.44x = 36,914.77 × 9,824.74
  4. Step 4: Simplify right side
    24,605.44x = 362,678,145.05
  5. Step 5: Solve for x
    x = 362,678,145.05/24,605.44
  6. Step 6: Final answer
    x = 14,739.76

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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.