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Finding the Fourth Proportional to 12,872.50, 19,310.40 and 3,638.50

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Solution

The fourth proportional to 12,872.50, 19,310.40 and 3,638.50 is: 5,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.50 : 19,310.40 = 3,638.50 : x
  2. Step 2: Convert to fraction form
    12,872.50/19,310.40 = 3,638.50/x
  3. Step 3: Cross multiply
    12,872.50x = 19,310.40 × 3,638.50
  4. Step 4: Simplify right side
    12,872.50x = 70,260,890.40
  5. Step 5: Solve for x
    x = 70,260,890.40/12,872.50
  6. Step 6: Final answer
    x = 5,458.22

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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.