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Finding the Fourth Proportional to 24,077.84, 33,226.74 and 13,467.56

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Solution

The fourth proportional to 24,077.84, 33,226.74 and 13,467.56 is: 18,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,077.84 : 33,226.74 = 13,467.56 : x
  2. Step 2: Convert to fraction form
    24,077.84/33,226.74 = 13,467.56/x
  3. Step 3: Cross multiply
    24,077.84x = 33,226.74 × 13,467.56
  4. Step 4: Simplify right side
    24,077.84x = 447,482,948.42
  5. Step 5: Solve for x
    x = 447,482,948.42/24,077.84
  6. Step 6: Final answer
    x = 18,584.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.