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Finding the Fourth Proportional to 13,402.79, 20,099.34 and 4,516.20

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Solution

The fourth proportional to 13,402.79, 20,099.34 and 4,516.20 is: 6,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.79 : 20,099.34 = 4,516.20 : x
  2. Step 2: Convert to fraction form
    13,402.79/20,099.34 = 4,516.20/x
  3. Step 3: Cross multiply
    13,402.79x = 20,099.34 × 4,516.20
  4. Step 4: Simplify right side
    13,402.79x = 90,772,639.31
  5. Step 5: Solve for x
    x = 90,772,639.31/13,402.79
  6. Step 6: Final answer
    x = 6,772.67

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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.