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Finding the Fourth Proportional to 24,135.69, 36,209.21 and 7,494.87

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Solution

The fourth proportional to 24,135.69, 36,209.21 and 7,494.87 is: 11,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135.69 : 36,209.21 = 7,494.87 : x
  2. Step 2: Convert to fraction form
    24,135.69/36,209.21 = 7,494.87/x
  3. Step 3: Cross multiply
    24,135.69x = 36,209.21 × 7,494.87
  4. Step 4: Simplify right side
    24,135.69x = 271,383,284.28
  5. Step 5: Solve for x
    x = 271,383,284.28/24,135.69
  6. Step 6: Final answer
    x = 11,244.07

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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.