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Finding the Fourth Proportional to 12,206.64, 16,844.40 and 6,902.08

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Solution

The fourth proportional to 12,206.64, 16,844.40 and 6,902.08 is: 9,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.64 : 16,844.40 = 6,902.08 : x
  2. Step 2: Convert to fraction form
    12,206.64/16,844.40 = 6,902.08/x
  3. Step 3: Cross multiply
    12,206.64x = 16,844.40 × 6,902.08
  4. Step 4: Simplify right side
    12,206.64x = 116,261,396.35
  5. Step 5: Solve for x
    x = 116,261,396.35/12,206.64
  6. Step 6: Final answer
    x = 9,524.44

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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.