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Finding the Fourth Proportional to 17,093.72, 23,589.34 and 9,539.84

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Solution

The fourth proportional to 17,093.72, 23,589.34 and 9,539.84 is: 13,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,093.72 : 23,589.34 = 9,539.84 : x
  2. Step 2: Convert to fraction form
    17,093.72/23,589.34 = 9,539.84/x
  3. Step 3: Cross multiply
    17,093.72x = 23,589.34 × 9,539.84
  4. Step 4: Simplify right side
    17,093.72x = 225,038,529.31
  5. Step 5: Solve for x
    x = 225,038,529.31/17,093.72
  6. Step 6: Final answer
    x = 13,164.98

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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.