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Finding the Fourth Proportional to 12,205.62, 16,842.35 and 6,900.41

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Solution

The fourth proportional to 12,205.62, 16,842.35 and 6,900.41 is: 9,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.62 : 16,842.35 = 6,900.41 : x
  2. Step 2: Convert to fraction form
    12,205.62/16,842.35 = 6,900.41/x
  3. Step 3: Cross multiply
    12,205.62x = 16,842.35 × 6,900.41
  4. Step 4: Simplify right side
    12,205.62x = 116,219,179.72
  5. Step 5: Solve for x
    x = 116,219,179.72/12,205.62
  6. Step 6: Final answer
    x = 9,521.78

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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.