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Finding the Fourth Proportional to 12,214.16, 16,856.19 and 7,736.27

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Solution

The fourth proportional to 12,214.16, 16,856.19 and 7,736.27 is: 10,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.16 : 16,856.19 = 7,736.27 : x
  2. Step 2: Convert to fraction form
    12,214.16/16,856.19 = 7,736.27/x
  3. Step 3: Cross multiply
    12,214.16x = 16,856.19 × 7,736.27
  4. Step 4: Simplify right side
    12,214.16x = 130,404,037.01
  5. Step 5: Solve for x
    x = 130,404,037.01/12,214.16
  6. Step 6: Final answer
    x = 10,676.46

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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.