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Finding the Fourth Proportional to 16,783.29, 23,163.84 and 9,713.61

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Solution

The fourth proportional to 16,783.29, 23,163.84 and 9,713.61 is: 13,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.29 : 23,163.84 = 9,713.61 : x
  2. Step 2: Convert to fraction form
    16,783.29/23,163.84 = 9,713.61/x
  3. Step 3: Cross multiply
    16,783.29x = 23,163.84 × 9,713.61
  4. Step 4: Simplify right side
    16,783.29x = 225,004,507.86
  5. Step 5: Solve for x
    x = 225,004,507.86/16,783.29
  6. Step 6: Final answer
    x = 13,406.46

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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.