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Finding the Fourth Proportional to 11,589.84, 17,365.68 and 11,158.56

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Solution

The fourth proportional to 11,589.84, 17,365.68 and 11,158.56 is: 16,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.84 : 17,365.68 = 11,158.56 : x
  2. Step 2: Convert to fraction form
    11,589.84/17,365.68 = 11,158.56/x
  3. Step 3: Cross multiply
    11,589.84x = 17,365.68 × 11,158.56
  4. Step 4: Simplify right side
    11,589.84x = 193,775,982.22
  5. Step 5: Solve for x
    x = 193,775,982.22/11,589.84
  6. Step 6: Final answer
    x = 16,719.47

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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.