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Finding the Fourth Proportional to 12,863.18, 19,296.17 and 4,096.05

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Solution

The fourth proportional to 12,863.18, 19,296.17 and 4,096.05 is: 6,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.18 : 19,296.17 = 4,096.05 : x
  2. Step 2: Convert to fraction form
    12,863.18/19,296.17 = 4,096.05/x
  3. Step 3: Cross multiply
    12,863.18x = 19,296.17 × 4,096.05
  4. Step 4: Simplify right side
    12,863.18x = 79,038,056.65
  5. Step 5: Solve for x
    x = 79,038,056.65/12,863.18
  6. Step 6: Final answer
    x = 6,144.52

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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.