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Finding the Fourth Proportional to 13,238.64, 19,861 and 3,878.44

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Solution

The fourth proportional to 13,238.64, 19,861 and 3,878.44 is: 5,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.64 : 19,861 = 3,878.44 : x
  2. Step 2: Convert to fraction form
    13,238.64/19,861 = 3,878.44/x
  3. Step 3: Cross multiply
    13,238.64x = 19,861 × 3,878.44
  4. Step 4: Simplify right side
    13,238.64x = 77,029,696.84
  5. Step 5: Solve for x
    x = 77,029,696.84/13,238.64
  6. Step 6: Final answer
    x = 5,818.55

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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.