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Finding the Fourth Proportional to 19,823.60, 29,692.20 and 17,634.80

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Solution

The fourth proportional to 19,823.60, 29,692.20 and 17,634.80 is: 26,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.60 : 29,692.20 = 17,634.80 : x
  2. Step 2: Convert to fraction form
    19,823.60/29,692.20 = 17,634.80/x
  3. Step 3: Cross multiply
    19,823.60x = 29,692.20 × 17,634.80
  4. Step 4: Simplify right side
    19,823.60x = 523,616,008.56
  5. Step 5: Solve for x
    x = 523,616,008.56/19,823.60
  6. Step 6: Final answer
    x = 26,413.77

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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.