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Finding the Fourth Proportional to 21,273.20, 31,909.80 and 9,609.20

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Solution

The fourth proportional to 21,273.20, 31,909.80 and 9,609.20 is: 14,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,273.20 : 31,909.80 = 9,609.20 : x
  2. Step 2: Convert to fraction form
    21,273.20/31,909.80 = 9,609.20/x
  3. Step 3: Cross multiply
    21,273.20x = 31,909.80 × 9,609.20
  4. Step 4: Simplify right side
    21,273.20x = 306,627,650.16
  5. Step 5: Solve for x
    x = 306,627,650.16/21,273.20
  6. Step 6: Final answer
    x = 14,413.80

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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.