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Finding the Fourth Proportional to 12,856, 17,742.74 and 7,267.36

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Solution

The fourth proportional to 12,856, 17,742.74 and 7,267.36 is: 10,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856 : 17,742.74 = 7,267.36 : x
  2. Step 2: Convert to fraction form
    12,856/17,742.74 = 7,267.36/x
  3. Step 3: Cross multiply
    12,856x = 17,742.74 × 7,267.36
  4. Step 4: Simplify right side
    12,856x = 128,942,878.97
  5. Step 5: Solve for x
    x = 128,942,878.97/12,856
  6. Step 6: Final answer
    x = 10,029.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.