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Finding the Fourth Proportional to 12,259.20, 16,917.52 and 6,954

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Solution

The fourth proportional to 12,259.20, 16,917.52 and 6,954 is: 9,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.20 : 16,917.52 = 6,954 : x
  2. Step 2: Convert to fraction form
    12,259.20/16,917.52 = 6,954/x
  3. Step 3: Cross multiply
    12,259.20x = 16,917.52 × 6,954
  4. Step 4: Simplify right side
    12,259.20x = 117,644,434.08
  5. Step 5: Solve for x
    x = 117,644,434.08/12,259.20
  6. Step 6: Final answer
    x = 9,596.42

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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.