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Finding the Fourth Proportional to 12,002.85, 16,563.42 and 6,697.62

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Solution

The fourth proportional to 12,002.85, 16,563.42 and 6,697.62 is: 9,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.85 : 16,563.42 = 6,697.62 : x
  2. Step 2: Convert to fraction form
    12,002.85/16,563.42 = 6,697.62/x
  3. Step 3: Cross multiply
    12,002.85x = 16,563.42 × 6,697.62
  4. Step 4: Simplify right side
    12,002.85x = 110,935,493.06
  5. Step 5: Solve for x
    x = 110,935,493.06/12,002.85
  6. Step 6: Final answer
    x = 9,242.43

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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.