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Finding the Fourth Proportional to 13,856.50, 20,785.20 and 5,422.67

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Solution

The fourth proportional to 13,856.50, 20,785.20 and 5,422.67 is: 8,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.50 : 20,785.20 = 5,422.67 : x
  2. Step 2: Convert to fraction form
    13,856.50/20,785.20 = 5,422.67/x
  3. Step 3: Cross multiply
    13,856.50x = 20,785.20 × 5,422.67
  4. Step 4: Simplify right side
    13,856.50x = 112,711,312.11
  5. Step 5: Solve for x
    x = 112,711,312.11/13,856.50
  6. Step 6: Final answer
    x = 8,134.18

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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.