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Finding the Fourth Proportional to 17,687.94, 24,409.36 and 10,614.36

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Solution

The fourth proportional to 17,687.94, 24,409.36 and 10,614.36 is: 14,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.94 : 24,409.36 = 10,614.36 : x
  2. Step 2: Convert to fraction form
    17,687.94/24,409.36 = 10,614.36/x
  3. Step 3: Cross multiply
    17,687.94x = 24,409.36 × 10,614.36
  4. Step 4: Simplify right side
    17,687.94x = 259,089,734.41
  5. Step 5: Solve for x
    x = 259,089,734.41/17,687.94
  6. Step 6: Final answer
    x = 14,647.82

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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.