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Finding the Fourth Proportional to 16,628.77, 24,944.51 and 4,942

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Solution

The fourth proportional to 16,628.77, 24,944.51 and 4,942 is: 7,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,628.77 : 24,944.51 = 4,942 : x
  2. Step 2: Convert to fraction form
    16,628.77/24,944.51 = 4,942/x
  3. Step 3: Cross multiply
    16,628.77x = 24,944.51 × 4,942
  4. Step 4: Simplify right side
    16,628.77x = 123,275,768.42
  5. Step 5: Solve for x
    x = 123,275,768.42/16,628.77
  6. Step 6: Final answer
    x = 7,413.40

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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.