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Finding the Fourth Proportional to 17,558.50, 24,230.73 and 9,600.78

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Solution

The fourth proportional to 17,558.50, 24,230.73 and 9,600.78 is: 13,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,558.50 : 24,230.73 = 9,600.78 : x
  2. Step 2: Convert to fraction form
    17,558.50/24,230.73 = 9,600.78/x
  3. Step 3: Cross multiply
    17,558.50x = 24,230.73 × 9,600.78
  4. Step 4: Simplify right side
    17,558.50x = 232,633,907.97
  5. Step 5: Solve for x
    x = 232,633,907.97/17,558.50
  6. Step 6: Final answer
    x = 13,249.08

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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.