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Finding the Fourth Proportional to 13,873.46, 19,144.38 and 7,904.03

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Solution

The fourth proportional to 13,873.46, 19,144.38 and 7,904.03 is: 10,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.46 : 19,144.38 = 7,904.03 : x
  2. Step 2: Convert to fraction form
    13,873.46/19,144.38 = 7,904.03/x
  3. Step 3: Cross multiply
    13,873.46x = 19,144.38 × 7,904.03
  4. Step 4: Simplify right side
    13,873.46x = 151,317,658.13
  5. Step 5: Solve for x
    x = 151,317,658.13/13,873.46
  6. Step 6: Final answer
    x = 10,906.99

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Why These Related Problems?

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