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Finding the Fourth Proportional to 24,933.80, 37,383.96 and 11,774

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Solution

The fourth proportional to 24,933.80, 37,383.96 and 11,774 is: 17,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,933.80 : 37,383.96 = 11,774 : x
  2. Step 2: Convert to fraction form
    24,933.80/37,383.96 = 11,774/x
  3. Step 3: Cross multiply
    24,933.80x = 37,383.96 × 11,774
  4. Step 4: Simplify right side
    24,933.80x = 440,158,745.04
  5. Step 5: Solve for x
    x = 440,158,745.04/24,933.80
  6. Step 6: Final answer
    x = 17,653.10

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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.