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Finding the Fourth Proportional to 20,700.40, 31,053.70 and 9,608.22

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Solution

The fourth proportional to 20,700.40, 31,053.70 and 9,608.22 is: 14,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,700.40 : 31,053.70 = 9,608.22 : x
  2. Step 2: Convert to fraction form
    20,700.40/31,053.70 = 9,608.22/x
  3. Step 3: Cross multiply
    20,700.40x = 31,053.70 × 9,608.22
  4. Step 4: Simplify right side
    20,700.40x = 298,370,781.41
  5. Step 5: Solve for x
    x = 298,370,781.41/20,700.40
  6. Step 6: Final answer
    x = 14,413.77

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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.