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Finding the Fourth Proportional to 13,404.15, 20,099.75 and 7,859.30

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Solution

The fourth proportional to 13,404.15, 20,099.75 and 7,859.30 is: 11,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.15 : 20,099.75 = 7,859.30 : x
  2. Step 2: Convert to fraction form
    13,404.15/20,099.75 = 7,859.30/x
  3. Step 3: Cross multiply
    13,404.15x = 20,099.75 × 7,859.30
  4. Step 4: Simplify right side
    13,404.15x = 157,969,825.38
  5. Step 5: Solve for x
    x = 157,969,825.38/13,404.15
  6. Step 6: Final answer
    x = 11,785.14

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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.