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Finding the Fourth Proportional to 16,769.99, 23,141.47 and 9,216.16

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Solution

The fourth proportional to 16,769.99, 23,141.47 and 9,216.16 is: 12,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769.99 : 23,141.47 = 9,216.16 : x
  2. Step 2: Convert to fraction form
    16,769.99/23,141.47 = 9,216.16/x
  3. Step 3: Cross multiply
    16,769.99x = 23,141.47 × 9,216.16
  4. Step 4: Simplify right side
    16,769.99x = 213,275,513.32
  5. Step 5: Solve for x
    x = 213,275,513.32/16,769.99
  6. Step 6: Final answer
    x = 12,717.69

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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.