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Finding the Fourth Proportional to 13,594.70, 20,369.85 and 6,922.01

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Solution

The fourth proportional to 13,594.70, 20,369.85 and 6,922.01 is: 10,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.70 : 20,369.85 = 6,922.01 : x
  2. Step 2: Convert to fraction form
    13,594.70/20,369.85 = 6,922.01/x
  3. Step 3: Cross multiply
    13,594.70x = 20,369.85 × 6,922.01
  4. Step 4: Simplify right side
    13,594.70x = 141,000,203.55
  5. Step 5: Solve for x
    x = 141,000,203.55/13,594.70
  6. Step 6: Final answer
    x = 10,371.71

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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.