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Finding the Fourth Proportional to 24,530.48, 36,795 and 7,891.28

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Solution

The fourth proportional to 24,530.48, 36,795 and 7,891.28 is: 11,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530.48 : 36,795 = 7,891.28 : x
  2. Step 2: Convert to fraction form
    24,530.48/36,795 = 7,891.28/x
  3. Step 3: Cross multiply
    24,530.48x = 36,795 × 7,891.28
  4. Step 4: Simplify right side
    24,530.48x = 290,359,647.60
  5. Step 5: Solve for x
    x = 290,359,647.60/24,530.48
  6. Step 6: Final answer
    x = 11,836.69

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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.