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Finding the Fourth Proportional to 20,453.83, 30,681.12 and 6,413.55

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Solution

The fourth proportional to 20,453.83, 30,681.12 and 6,413.55 is: 9,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,453.83 : 30,681.12 = 6,413.55 : x
  2. Step 2: Convert to fraction form
    20,453.83/30,681.12 = 6,413.55/x
  3. Step 3: Cross multiply
    20,453.83x = 30,681.12 × 6,413.55
  4. Step 4: Simplify right side
    20,453.83x = 196,774,806.17
  5. Step 5: Solve for x
    x = 196,774,806.17/20,453.83
  6. Step 6: Final answer
    x = 9,620.44

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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.