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Finding the Fourth Proportional to 12,216.64, 16,858.47 and 6,912.56

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Solution

The fourth proportional to 12,216.64, 16,858.47 and 6,912.56 is: 9,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.64 : 16,858.47 = 6,912.56 : x
  2. Step 2: Convert to fraction form
    12,216.64/16,858.47 = 6,912.56/x
  3. Step 3: Cross multiply
    12,216.64x = 16,858.47 × 6,912.56
  4. Step 4: Simplify right side
    12,216.64x = 116,535,185.38
  5. Step 5: Solve for x
    x = 116,535,185.38/12,216.64
  6. Step 6: Final answer
    x = 9,539.05

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Why These Related Problems?

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