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Finding the Fourth Proportional to 18,562.41, 27,840.63 and 5,411.70

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Solution

The fourth proportional to 18,562.41, 27,840.63 and 5,411.70 is: 8,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562.41 : 27,840.63 = 5,411.70 : x
  2. Step 2: Convert to fraction form
    18,562.41/27,840.63 = 5,411.70/x
  3. Step 3: Cross multiply
    18,562.41x = 27,840.63 × 5,411.70
  4. Step 4: Simplify right side
    18,562.41x = 150,665,137.37
  5. Step 5: Solve for x
    x = 150,665,137.37/18,562.41
  6. Step 6: Final answer
    x = 8,116.68

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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.