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Finding the Fourth Proportional to 11,577.34, 17,389.09 and 10,924.56

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Solution

The fourth proportional to 11,577.34, 17,389.09 and 10,924.56 is: 16,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.34 : 17,389.09 = 10,924.56 : x
  2. Step 2: Convert to fraction form
    11,577.34/17,389.09 = 10,924.56/x
  3. Step 3: Cross multiply
    11,577.34x = 17,389.09 × 10,924.56
  4. Step 4: Simplify right side
    11,577.34x = 189,968,157.05
  5. Step 5: Solve for x
    x = 189,968,157.05/11,577.34
  6. Step 6: Final answer
    x = 16,408.62

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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.