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Finding the Fourth Proportional to 12,823.53, 19,229.15 and 6,063.50

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Solution

The fourth proportional to 12,823.53, 19,229.15 and 6,063.50 is: 9,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.53 : 19,229.15 = 6,063.50 : x
  2. Step 2: Convert to fraction form
    12,823.53/19,229.15 = 6,063.50/x
  3. Step 3: Cross multiply
    12,823.53x = 19,229.15 × 6,063.50
  4. Step 4: Simplify right side
    12,823.53x = 116,595,824.56
  5. Step 5: Solve for x
    x = 116,595,824.56/12,823.53
  6. Step 6: Final answer
    x = 9,092.33

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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.