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Finding the Fourth Proportional to 12,002.08, 16,562.84 and 6,696.84

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Solution

The fourth proportional to 12,002.08, 16,562.84 and 6,696.84 is: 9,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.08 : 16,562.84 = 6,696.84 : x
  2. Step 2: Convert to fraction form
    12,002.08/16,562.84 = 6,696.84/x
  3. Step 3: Cross multiply
    12,002.08x = 16,562.84 × 6,696.84
  4. Step 4: Simplify right side
    12,002.08x = 110,918,689.43
  5. Step 5: Solve for x
    x = 110,918,689.43/12,002.08
  6. Step 6: Final answer
    x = 9,241.62

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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.