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Finding the Fourth Proportional to 18,502.32, 27,753.74 and 6,022.41

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Solution

The fourth proportional to 18,502.32, 27,753.74 and 6,022.41 is: 9,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,502.32 : 27,753.74 = 6,022.41 : x
  2. Step 2: Convert to fraction form
    18,502.32/27,753.74 = 6,022.41/x
  3. Step 3: Cross multiply
    18,502.32x = 27,753.74 × 6,022.41
  4. Step 4: Simplify right side
    18,502.32x = 167,144,367.77
  5. Step 5: Solve for x
    x = 167,144,367.77/18,502.32
  6. Step 6: Final answer
    x = 9,033.70

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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.