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Finding the Fourth Proportional to 19,072.16, 28,627.68 and 13,149.44

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Solution

The fourth proportional to 19,072.16, 28,627.68 and 13,149.44 is: 19,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,072.16 : 28,627.68 = 13,149.44 : x
  2. Step 2: Convert to fraction form
    19,072.16/28,627.68 = 13,149.44/x
  3. Step 3: Cross multiply
    19,072.16x = 28,627.68 × 13,149.44
  4. Step 4: Simplify right side
    19,072.16x = 376,437,960.50
  5. Step 5: Solve for x
    x = 376,437,960.50/19,072.16
  6. Step 6: Final answer
    x = 19,737.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.