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Finding the Fourth Proportional to 12,796.68, 19,197.44 and 5,005

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Solution

The fourth proportional to 12,796.68, 19,197.44 and 5,005 is: 7,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.68 : 19,197.44 = 5,005 : x
  2. Step 2: Convert to fraction form
    12,796.68/19,197.44 = 5,005/x
  3. Step 3: Cross multiply
    12,796.68x = 19,197.44 × 5,005
  4. Step 4: Simplify right side
    12,796.68x = 96,083,187.20
  5. Step 5: Solve for x
    x = 96,083,187.20/12,796.68
  6. Step 6: Final answer
    x = 7,508.45

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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.