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Finding the Fourth Proportional to 12,845.16, 19,272.06 and 5,446.44

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Solution

The fourth proportional to 12,845.16, 19,272.06 and 5,446.44 is: 8,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,845.16 : 19,272.06 = 5,446.44 : x
  2. Step 2: Convert to fraction form
    12,845.16/19,272.06 = 5,446.44/x
  3. Step 3: Cross multiply
    12,845.16x = 19,272.06 × 5,446.44
  4. Step 4: Simplify right side
    12,845.16x = 104,964,118.47
  5. Step 5: Solve for x
    x = 104,964,118.47/12,845.16
  6. Step 6: Final answer
    x = 8,171.49

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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.