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Finding the Fourth Proportional to 16,276.54, 24,413.47 and 5,182.78

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Solution

The fourth proportional to 16,276.54, 24,413.47 and 5,182.78 is: 7,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.54 : 24,413.47 = 5,182.78 : x
  2. Step 2: Convert to fraction form
    16,276.54/24,413.47 = 5,182.78/x
  3. Step 3: Cross multiply
    16,276.54x = 24,413.47 × 5,182.78
  4. Step 4: Simplify right side
    16,276.54x = 126,529,644.05
  5. Step 5: Solve for x
    x = 126,529,644.05/16,276.54
  6. Step 6: Final answer
    x = 7,773.74

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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.