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Finding the Fourth Proportional to 14,439, 21,667.14 and 6,231

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Solution

The fourth proportional to 14,439, 21,667.14 and 6,231 is: 9,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,439 : 21,667.14 = 6,231 : x
  2. Step 2: Convert to fraction form
    14,439/21,667.14 = 6,231/x
  3. Step 3: Cross multiply
    14,439x = 21,667.14 × 6,231
  4. Step 4: Simplify right side
    14,439x = 135,007,949.34
  5. Step 5: Solve for x
    x = 135,007,949.34/14,439
  6. Step 6: Final answer
    x = 9,350.23

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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.