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Finding the Fourth Proportional to 12,256.56, 16,914 and 6,667.68

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Solution

The fourth proportional to 12,256.56, 16,914 and 6,667.68 is: 9,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.56 : 16,914 = 6,667.68 : x
  2. Step 2: Convert to fraction form
    12,256.56/16,914 = 6,667.68/x
  3. Step 3: Cross multiply
    12,256.56x = 16,914 × 6,667.68
  4. Step 4: Simplify right side
    12,256.56x = 112,777,139.52
  5. Step 5: Solve for x
    x = 112,777,139.52/12,256.56
  6. Step 6: Final answer
    x = 9,201.37

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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.