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Finding the Fourth Proportional to 15,768.56, 23,652.84 and 6,413.67

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Solution

The fourth proportional to 15,768.56, 23,652.84 and 6,413.67 is: 9,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.56 : 23,652.84 = 6,413.67 : x
  2. Step 2: Convert to fraction form
    15,768.56/23,652.84 = 6,413.67/x
  3. Step 3: Cross multiply
    15,768.56x = 23,652.84 × 6,413.67
  4. Step 4: Simplify right side
    15,768.56x = 151,701,534.37
  5. Step 5: Solve for x
    x = 151,701,534.37/15,768.56
  6. Step 6: Final answer
    x = 9,620.51

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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.