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Finding the Fourth Proportional to 16,975.78, 23,429.39 and 9,902.21

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Solution

The fourth proportional to 16,975.78, 23,429.39 and 9,902.21 is: 13,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,975.78 : 23,429.39 = 9,902.21 : x
  2. Step 2: Convert to fraction form
    16,975.78/23,429.39 = 9,902.21/x
  3. Step 3: Cross multiply
    16,975.78x = 23,429.39 × 9,902.21
  4. Step 4: Simplify right side
    16,975.78x = 232,002,690.44
  5. Step 5: Solve for x
    x = 232,002,690.44/16,975.78
  6. Step 6: Final answer
    x = 13,666.69

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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.