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Finding the Fourth Proportional to 24,289.48, 36,435.52 and 7,650.82

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Solution

The fourth proportional to 24,289.48, 36,435.52 and 7,650.82 is: 11,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.48 : 36,435.52 = 7,650.82 : x
  2. Step 2: Convert to fraction form
    24,289.48/36,435.52 = 7,650.82/x
  3. Step 3: Cross multiply
    24,289.48x = 36,435.52 × 7,650.82
  4. Step 4: Simplify right side
    24,289.48x = 278,761,384.69
  5. Step 5: Solve for x
    x = 278,761,384.69/24,289.48
  6. Step 6: Final answer
    x = 11,476.63

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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.