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Finding the Fourth Proportional to 13,782.17, 19,019.26 and 7,494.54

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Solution

The fourth proportional to 13,782.17, 19,019.26 and 7,494.54 is: 10,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.17 : 19,019.26 = 7,494.54 : x
  2. Step 2: Convert to fraction form
    13,782.17/19,019.26 = 7,494.54/x
  3. Step 3: Cross multiply
    13,782.17x = 19,019.26 × 7,494.54
  4. Step 4: Simplify right side
    13,782.17x = 142,540,604.84
  5. Step 5: Solve for x
    x = 142,540,604.84/13,782.17
  6. Step 6: Final answer
    x = 10,342.39

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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.