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Finding the Fourth Proportional to 11,665.34, 17,506.21 and 10,549.97

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Solution

The fourth proportional to 11,665.34, 17,506.21 and 10,549.97 is: 15,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.34 : 17,506.21 = 10,549.97 : x
  2. Step 2: Convert to fraction form
    11,665.34/17,506.21 = 10,549.97/x
  3. Step 3: Cross multiply
    11,665.34x = 17,506.21 × 10,549.97
  4. Step 4: Simplify right side
    11,665.34x = 184,689,990.31
  5. Step 5: Solve for x
    x = 184,689,990.31/11,665.34
  6. Step 6: Final answer
    x = 15,832.37

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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.