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Finding the Fourth Proportional to 23,413.16, 35,114.54 and 6,769.56

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Solution

The fourth proportional to 23,413.16, 35,114.54 and 6,769.56 is: 10,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.16 : 35,114.54 = 6,769.56 : x
  2. Step 2: Convert to fraction form
    23,413.16/35,114.54 = 6,769.56/x
  3. Step 3: Cross multiply
    23,413.16x = 35,114.54 × 6,769.56
  4. Step 4: Simplify right side
    23,413.16x = 237,709,985.40
  5. Step 5: Solve for x
    x = 237,709,985.40/23,413.16
  6. Step 6: Final answer
    x = 10,152.84

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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.