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Finding the Fourth Proportional to 12,142.99, 16,753.83 and 7,668.19

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Solution

The fourth proportional to 12,142.99, 16,753.83 and 7,668.19 is: 10,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.99 : 16,753.83 = 7,668.19 : x
  2. Step 2: Convert to fraction form
    12,142.99/16,753.83 = 7,668.19/x
  3. Step 3: Cross multiply
    12,142.99x = 16,753.83 × 7,668.19
  4. Step 4: Simplify right side
    12,142.99x = 128,471,467.90
  5. Step 5: Solve for x
    x = 128,471,467.90/12,142.99
  6. Step 6: Final answer
    x = 10,579.89

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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.