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Finding the Fourth Proportional to 22,295.75, 30,760.47 and 13,219.25

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Solution

The fourth proportional to 22,295.75, 30,760.47 and 13,219.25 is: 18,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.75 : 30,760.47 = 13,219.25 : x
  2. Step 2: Convert to fraction form
    22,295.75/30,760.47 = 13,219.25/x
  3. Step 3: Cross multiply
    22,295.75x = 30,760.47 × 13,219.25
  4. Step 4: Simplify right side
    22,295.75x = 406,630,189.25
  5. Step 5: Solve for x
    x = 406,630,189.25/22,295.75
  6. Step 6: Final answer
    x = 18,238.02

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