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Finding the Fourth Proportional to 19,059.82, 28,608.22 and 9,206.02

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Solution

The fourth proportional to 19,059.82, 28,608.22 and 9,206.02 is: 13,817.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,059.82 : 28,608.22 = 9,206.02 : x
  2. Step 2: Convert to fraction form
    19,059.82/28,608.22 = 9,206.02/x
  3. Step 3: Cross multiply
    19,059.82x = 28,608.22 × 9,206.02
  4. Step 4: Simplify right side
    19,059.82x = 263,367,845.48
  5. Step 5: Solve for x
    x = 263,367,845.48/19,059.82
  6. Step 6: Final answer
    x = 13,817.96

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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.