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Finding the Fourth Proportional to 16,667.39, 23,000.31 and 9,865.82

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Solution

The fourth proportional to 16,667.39, 23,000.31 and 9,865.82 is: 13,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,667.39 : 23,000.31 = 9,865.82 : x
  2. Step 2: Convert to fraction form
    16,667.39/23,000.31 = 9,865.82/x
  3. Step 3: Cross multiply
    16,667.39x = 23,000.31 × 9,865.82
  4. Step 4: Simplify right side
    16,667.39x = 226,916,975.90
  5. Step 5: Solve for x
    x = 226,916,975.90/16,667.39
  6. Step 6: Final answer
    x = 13,614.43

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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.