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Finding the Fourth Proportional to 23,863.30, 35,785.83 and 7,849.11

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Solution

The fourth proportional to 23,863.30, 35,785.83 and 7,849.11 is: 11,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.30 : 35,785.83 = 7,849.11 : x
  2. Step 2: Convert to fraction form
    23,863.30/35,785.83 = 7,849.11/x
  3. Step 3: Cross multiply
    23,863.30x = 35,785.83 × 7,849.11
  4. Step 4: Simplify right side
    23,863.30x = 280,886,916.11
  5. Step 5: Solve for x
    x = 280,886,916.11/23,863.30
  6. Step 6: Final answer
    x = 11,770.67

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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.