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Finding the Fourth Proportional to 18,561.61, 27,835.50 and 8,033.17

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Solution

The fourth proportional to 18,561.61, 27,835.50 and 8,033.17 is: 12,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561.61 : 27,835.50 = 8,033.17 : x
  2. Step 2: Convert to fraction form
    18,561.61/27,835.50 = 8,033.17/x
  3. Step 3: Cross multiply
    18,561.61x = 27,835.50 × 8,033.17
  4. Step 4: Simplify right side
    18,561.61x = 223,607,303.54
  5. Step 5: Solve for x
    x = 223,607,303.54/18,561.61
  6. Step 6: Final answer
    x = 12,046.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.