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Finding the Fourth Proportional to 13,428.96, 20,122.92 and 5,633.52

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Solution

The fourth proportional to 13,428.96, 20,122.92 and 5,633.52 is: 8,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.96 : 20,122.92 = 5,633.52 : x
  2. Step 2: Convert to fraction form
    13,428.96/20,122.92 = 5,633.52/x
  3. Step 3: Cross multiply
    13,428.96x = 20,122.92 × 5,633.52
  4. Step 4: Simplify right side
    13,428.96x = 113,362,872.28
  5. Step 5: Solve for x
    x = 113,362,872.28/13,428.96
  6. Step 6: Final answer
    x = 8,441.67

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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.