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Finding the Fourth Proportional to 12,216.96, 16,860.24 and 6,911.78

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Solution

The fourth proportional to 12,216.96, 16,860.24 and 6,911.78 is: 9,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.96 : 16,860.24 = 6,911.78 : x
  2. Step 2: Convert to fraction form
    12,216.96/16,860.24 = 6,911.78/x
  3. Step 3: Cross multiply
    12,216.96x = 16,860.24 × 6,911.78
  4. Step 4: Simplify right side
    12,216.96x = 116,534,185.33
  5. Step 5: Solve for x
    x = 116,534,185.33/12,216.96
  6. Step 6: Final answer
    x = 9,538.72

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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.