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Finding the Fourth Proportional to 12,002.09, 16,562.88 and 6,696.91

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Solution

The fourth proportional to 12,002.09, 16,562.88 and 6,696.91 is: 9,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.09 : 16,562.88 = 6,696.91 : x
  2. Step 2: Convert to fraction form
    12,002.09/16,562.88 = 6,696.91/x
  3. Step 3: Cross multiply
    12,002.09x = 16,562.88 × 6,696.91
  4. Step 4: Simplify right side
    12,002.09x = 110,920,033.89
  5. Step 5: Solve for x
    x = 110,920,033.89/12,002.09
  6. Step 6: Final answer
    x = 9,241.73

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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.