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Finding the Fourth Proportional to 18,155.10, 27,194.38 and 8,302.67

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Solution

The fourth proportional to 18,155.10, 27,194.38 and 8,302.67 is: 12,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,155.10 : 27,194.38 = 8,302.67 : x
  2. Step 2: Convert to fraction form
    18,155.10/27,194.38 = 8,302.67/x
  3. Step 3: Cross multiply
    18,155.10x = 27,194.38 × 8,302.67
  4. Step 4: Simplify right side
    18,155.10x = 225,785,962.99
  5. Step 5: Solve for x
    x = 225,785,962.99/18,155.10
  6. Step 6: Final answer
    x = 12,436.50

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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.