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Finding the Fourth Proportional to 12,202.30, 16,846.32 and 8,017.84

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Solution

The fourth proportional to 12,202.30, 16,846.32 and 8,017.84 is: 11,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.30 : 16,846.32 = 8,017.84 : x
  2. Step 2: Convert to fraction form
    12,202.30/16,846.32 = 8,017.84/x
  3. Step 3: Cross multiply
    12,202.30x = 16,846.32 × 8,017.84
  4. Step 4: Simplify right side
    12,202.30x = 135,071,098.35
  5. Step 5: Solve for x
    x = 135,071,098.35/12,202.30
  6. Step 6: Final answer
    x = 11,069.31

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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.