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Finding the Fourth Proportional to 11,578.37, 17,388.74 and 10,602.42

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Solution

The fourth proportional to 11,578.37, 17,388.74 and 10,602.42 is: 15,923.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.37 : 17,388.74 = 10,602.42 : x
  2. Step 2: Convert to fraction form
    11,578.37/17,388.74 = 10,602.42/x
  3. Step 3: Cross multiply
    11,578.37x = 17,388.74 × 10,602.42
  4. Step 4: Simplify right side
    11,578.37x = 184,362,724.75
  5. Step 5: Solve for x
    x = 184,362,724.75/11,578.37
  6. Step 6: Final answer
    x = 15,923.03

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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.