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Finding the Fourth Proportional to 14,667.38, 20,257.68 and 9,943.46

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Solution

The fourth proportional to 14,667.38, 20,257.68 and 9,943.46 is: 13,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.38 : 20,257.68 = 9,943.46 : x
  2. Step 2: Convert to fraction form
    14,667.38/20,257.68 = 9,943.46/x
  3. Step 3: Cross multiply
    14,667.38x = 20,257.68 × 9,943.46
  4. Step 4: Simplify right side
    14,667.38x = 201,431,430.77
  5. Step 5: Solve for x
    x = 201,431,430.77/14,667.38
  6. Step 6: Final answer
    x = 13,733.29

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Why These Related Problems?

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