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Finding the Fourth Proportional to 13,873.78, 19,145.91 and 7,586.26

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Solution

The fourth proportional to 13,873.78, 19,145.91 and 7,586.26 is: 10,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.78 : 19,145.91 = 7,586.26 : x
  2. Step 2: Convert to fraction form
    13,873.78/19,145.91 = 7,586.26/x
  3. Step 3: Cross multiply
    13,873.78x = 19,145.91 × 7,586.26
  4. Step 4: Simplify right side
    13,873.78x = 145,245,851.20
  5. Step 5: Solve for x
    x = 145,245,851.20/13,873.78
  6. Step 6: Final answer
    x = 10,469.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.