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Finding the Fourth Proportional to 19,388.74, 29,078.79 and 7,698.82

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Solution

The fourth proportional to 19,388.74, 29,078.79 and 7,698.82 is: 11,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,388.74 : 29,078.79 = 7,698.82 : x
  2. Step 2: Convert to fraction form
    19,388.74/29,078.79 = 7,698.82/x
  3. Step 3: Cross multiply
    19,388.74x = 29,078.79 × 7,698.82
  4. Step 4: Simplify right side
    19,388.74x = 223,872,370.03
  5. Step 5: Solve for x
    x = 223,872,370.03/19,388.74
  6. Step 6: Final answer
    x = 11,546.51

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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.