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Finding the Fourth Proportional to 13,338.02, 20,012.92 and 7,096.57

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Solution

The fourth proportional to 13,338.02, 20,012.92 and 7,096.57 is: 10,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.02 : 20,012.92 = 7,096.57 : x
  2. Step 2: Convert to fraction form
    13,338.02/20,012.92 = 7,096.57/x
  3. Step 3: Cross multiply
    13,338.02x = 20,012.92 × 7,096.57
  4. Step 4: Simplify right side
    13,338.02x = 142,023,019.91
  5. Step 5: Solve for x
    x = 142,023,019.91/13,338.02
  6. Step 6: Final answer
    x = 10,647.98

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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.