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Finding the Fourth Proportional to 16,478.56, 22,739.16 and 9,404.02

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Solution

The fourth proportional to 16,478.56, 22,739.16 and 9,404.02 is: 12,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.56 : 22,739.16 = 9,404.02 : x
  2. Step 2: Convert to fraction form
    16,478.56/22,739.16 = 9,404.02/x
  3. Step 3: Cross multiply
    16,478.56x = 22,739.16 × 9,404.02
  4. Step 4: Simplify right side
    16,478.56x = 213,839,515.42
  5. Step 5: Solve for x
    x = 213,839,515.42/16,478.56
  6. Step 6: Final answer
    x = 12,976.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.