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Finding the Fourth Proportional to 19,906.58, 29,858.79 and 6,054.50

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Solution

The fourth proportional to 19,906.58, 29,858.79 and 6,054.50 is: 9,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906.58 : 29,858.79 = 6,054.50 : x
  2. Step 2: Convert to fraction form
    19,906.58/29,858.79 = 6,054.50/x
  3. Step 3: Cross multiply
    19,906.58x = 29,858.79 × 6,054.50
  4. Step 4: Simplify right side
    19,906.58x = 180,780,044.06
  5. Step 5: Solve for x
    x = 180,780,044.06/19,906.58
  6. Step 6: Final answer
    x = 9,081.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.