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Finding the Fourth Proportional to 12,218.66, 16,858.95 and 6,912.32

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Solution

The fourth proportional to 12,218.66, 16,858.95 and 6,912.32 is: 9,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.66 : 16,858.95 = 6,912.32 : x
  2. Step 2: Convert to fraction form
    12,218.66/16,858.95 = 6,912.32/x
  3. Step 3: Cross multiply
    12,218.66x = 16,858.95 × 6,912.32
  4. Step 4: Simplify right side
    12,218.66x = 116,534,457.26
  5. Step 5: Solve for x
    x = 116,534,457.26/12,218.66
  6. Step 6: Final answer
    x = 9,537.42

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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.