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Finding the Fourth Proportional to 24,451.09, 36,678.67 and 7,813.49

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Solution

The fourth proportional to 24,451.09, 36,678.67 and 7,813.49 is: 11,720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.09 : 36,678.67 = 7,813.49 : x
  2. Step 2: Convert to fraction form
    24,451.09/36,678.67 = 7,813.49/x
  3. Step 3: Cross multiply
    24,451.09x = 36,678.67 × 7,813.49
  4. Step 4: Simplify right side
    24,451.09x = 286,588,218.33
  5. Step 5: Solve for x
    x = 286,588,218.33/24,451.09
  6. Step 6: Final answer
    x = 11,720.88

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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.