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Finding the Fourth Proportional to 30,141.81, 41,596.71 and 18,202.77

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Solution

The fourth proportional to 30,141.81, 41,596.71 and 18,202.77 is: 25,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,141.81 : 41,596.71 = 18,202.77 : x
  2. Step 2: Convert to fraction form
    30,141.81/41,596.71 = 18,202.77/x
  3. Step 3: Cross multiply
    30,141.81x = 41,596.71 × 18,202.77
  4. Step 4: Simplify right side
    30,141.81x = 757,175,344.89
  5. Step 5: Solve for x
    x = 757,175,344.89/30,141.81
  6. Step 6: Final answer
    x = 25,120.43

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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.