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Finding the Fourth Proportional to 12,002.99, 16,563.29 and 6,697.49

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Solution

The fourth proportional to 12,002.99, 16,563.29 and 6,697.49 is: 9,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.99 : 16,563.29 = 6,697.49 : x
  2. Step 2: Convert to fraction form
    12,002.99/16,563.29 = 6,697.49/x
  3. Step 3: Cross multiply
    12,002.99x = 16,563.29 × 6,697.49
  4. Step 4: Simplify right side
    12,002.99x = 110,932,352.84
  5. Step 5: Solve for x
    x = 110,932,352.84/12,002.99
  6. Step 6: Final answer
    x = 9,242.06

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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.