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Finding the Fourth Proportional to 13,380.07, 20,064.29 and 7,138.69

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Solution

The fourth proportional to 13,380.07, 20,064.29 and 7,138.69 is: 10,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.07 : 20,064.29 = 7,138.69 : x
  2. Step 2: Convert to fraction form
    13,380.07/20,064.29 = 7,138.69/x
  3. Step 3: Cross multiply
    13,380.07x = 20,064.29 × 7,138.69
  4. Step 4: Simplify right side
    13,380.07x = 143,232,660.53
  5. Step 5: Solve for x
    x = 143,232,660.53/13,380.07
  6. Step 6: Final answer
    x = 10,704.93

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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.