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Finding the Fourth Proportional to 12,163.63, 16,785.81 and 6,574.63

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Solution

The fourth proportional to 12,163.63, 16,785.81 and 6,574.63 is: 9,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.63 : 16,785.81 = 6,574.63 : x
  2. Step 2: Convert to fraction form
    12,163.63/16,785.81 = 6,574.63/x
  3. Step 3: Cross multiply
    12,163.63x = 16,785.81 × 6,574.63
  4. Step 4: Simplify right side
    12,163.63x = 110,360,490.00
  5. Step 5: Solve for x
    x = 110,360,490.00/12,163.63
  6. Step 6: Final answer
    x = 9,072.99

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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.