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Finding the Fourth Proportional to 12,809.34, 17,667.72 and 8,324.73

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Solution

The fourth proportional to 12,809.34, 17,667.72 and 8,324.73 is: 11,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.34 : 17,667.72 = 8,324.73 : x
  2. Step 2: Convert to fraction form
    12,809.34/17,667.72 = 8,324.73/x
  3. Step 3: Cross multiply
    12,809.34x = 17,667.72 × 8,324.73
  4. Step 4: Simplify right side
    12,809.34x = 147,078,998.72
  5. Step 5: Solve for x
    x = 147,078,998.72/12,809.34
  6. Step 6: Final answer
    x = 11,482.17

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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.