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Finding the Fourth Proportional to 13,420.68, 20,130.90 and 7,912.32

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Solution

The fourth proportional to 13,420.68, 20,130.90 and 7,912.32 is: 11,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.68 : 20,130.90 = 7,912.32 : x
  2. Step 2: Convert to fraction form
    13,420.68/20,130.90 = 7,912.32/x
  3. Step 3: Cross multiply
    13,420.68x = 20,130.90 × 7,912.32
  4. Step 4: Simplify right side
    13,420.68x = 159,282,122.69
  5. Step 5: Solve for x
    x = 159,282,122.69/13,420.68
  6. Step 6: Final answer
    x = 11,868.41

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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.