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Finding the Fourth Proportional to 14,556.84, 20,089.53 and 8,270.34

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Solution

The fourth proportional to 14,556.84, 20,089.53 and 8,270.34 is: 11,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.84 : 20,089.53 = 8,270.34 : x
  2. Step 2: Convert to fraction form
    14,556.84/20,089.53 = 8,270.34/x
  3. Step 3: Cross multiply
    14,556.84x = 20,089.53 × 8,270.34
  4. Step 4: Simplify right side
    14,556.84x = 166,147,243.54
  5. Step 5: Solve for x
    x = 166,147,243.54/14,556.84
  6. Step 6: Final answer
    x = 11,413.69

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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.