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Finding the Fourth Proportional to 13,730.50, 20,596.56 and 4,496.50

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Solution

The fourth proportional to 13,730.50, 20,596.56 and 4,496.50 is: 6,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.50 : 20,596.56 = 4,496.50 : x
  2. Step 2: Convert to fraction form
    13,730.50/20,596.56 = 4,496.50/x
  3. Step 3: Cross multiply
    13,730.50x = 20,596.56 × 4,496.50
  4. Step 4: Simplify right side
    13,730.50x = 92,612,432.04
  5. Step 5: Solve for x
    x = 92,612,432.04/13,730.50
  6. Step 6: Final answer
    x = 6,745.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.