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Finding the Fourth Proportional to 13,163.06, 18,163.23 and 7,574.06

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Solution

The fourth proportional to 13,163.06, 18,163.23 and 7,574.06 is: 10,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.06 : 18,163.23 = 7,574.06 : x
  2. Step 2: Convert to fraction form
    13,163.06/18,163.23 = 7,574.06/x
  3. Step 3: Cross multiply
    13,163.06x = 18,163.23 × 7,574.06
  4. Step 4: Simplify right side
    13,163.06x = 137,569,393.81
  5. Step 5: Solve for x
    x = 137,569,393.81/13,163.06
  6. Step 6: Final answer
    x = 10,451.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.