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Finding the Fourth Proportional to 12,207.66, 16,846.29 and 6,902.16

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Solution

The fourth proportional to 12,207.66, 16,846.29 and 6,902.16 is: 9,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.66 : 16,846.29 = 6,902.16 : x
  2. Step 2: Convert to fraction form
    12,207.66/16,846.29 = 6,902.16/x
  3. Step 3: Cross multiply
    12,207.66x = 16,846.29 × 6,902.16
  4. Step 4: Simplify right side
    12,207.66x = 116,275,788.99
  5. Step 5: Solve for x
    x = 116,275,788.99/12,207.66
  6. Step 6: Final answer
    x = 9,524.82

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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.