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Finding the Fourth Proportional to 23,413.41, 35,114.88 and 6,769.74

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Solution

The fourth proportional to 23,413.41, 35,114.88 and 6,769.74 is: 10,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.41 : 35,114.88 = 6,769.74 : x
  2. Step 2: Convert to fraction form
    23,413.41/35,114.88 = 6,769.74/x
  3. Step 3: Cross multiply
    23,413.41x = 35,114.88 × 6,769.74
  4. Step 4: Simplify right side
    23,413.41x = 237,718,607.73
  5. Step 5: Solve for x
    x = 237,718,607.73/23,413.41
  6. Step 6: Final answer
    x = 10,153.10

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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.