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Finding the Fourth Proportional to 18,868.32, 28,294.72 and 8,195.36

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Solution

The fourth proportional to 18,868.32, 28,294.72 and 8,195.36 is: 12,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,868.32 : 28,294.72 = 8,195.36 : x
  2. Step 2: Convert to fraction form
    18,868.32/28,294.72 = 8,195.36/x
  3. Step 3: Cross multiply
    18,868.32x = 28,294.72 × 8,195.36
  4. Step 4: Simplify right side
    18,868.32x = 231,885,416.50
  5. Step 5: Solve for x
    x = 231,885,416.50/18,868.32
  6. Step 6: Final answer
    x = 12,289.67

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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.