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Finding the Fourth Proportional to 12,838.46, 19,257.72 and 3,478.53

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Solution

The fourth proportional to 12,838.46, 19,257.72 and 3,478.53 is: 5,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.46 : 19,257.72 = 3,478.53 : x
  2. Step 2: Convert to fraction form
    12,838.46/19,257.72 = 3,478.53/x
  3. Step 3: Cross multiply
    12,838.46x = 19,257.72 × 3,478.53
  4. Step 4: Simplify right side
    12,838.46x = 66,988,539.36
  5. Step 5: Solve for x
    x = 66,988,539.36/12,838.46
  6. Step 6: Final answer
    x = 5,217.80

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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.