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Finding the Fourth Proportional to 24,267.84, 36,418.20 and 9,476.68

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Solution

The fourth proportional to 24,267.84, 36,418.20 and 9,476.68 is: 14,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,267.84 : 36,418.20 = 9,476.68 : x
  2. Step 2: Convert to fraction form
    24,267.84/36,418.20 = 9,476.68/x
  3. Step 3: Cross multiply
    24,267.84x = 36,418.20 × 9,476.68
  4. Step 4: Simplify right side
    24,267.84x = 345,123,627.58
  5. Step 5: Solve for x
    x = 345,123,627.58/24,267.84
  6. Step 6: Final answer
    x = 14,221.44

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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.