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Finding the Fourth Proportional to 24,284.30, 36,429.05 and 7,644.83

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Solution

The fourth proportional to 24,284.30, 36,429.05 and 7,644.83 is: 11,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.30 : 36,429.05 = 7,644.83 : x
  2. Step 2: Convert to fraction form
    24,284.30/36,429.05 = 7,644.83/x
  3. Step 3: Cross multiply
    24,284.30x = 36,429.05 × 7,644.83
  4. Step 4: Simplify right side
    24,284.30x = 278,493,673.94
  5. Step 5: Solve for x
    x = 278,493,673.94/24,284.30
  6. Step 6: Final answer
    x = 11,468.06

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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.