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Finding the Fourth Proportional to 17,380.41, 23,984.03 and 9,826.31

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Solution

The fourth proportional to 17,380.41, 23,984.03 and 9,826.31 is: 13,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,380.41 : 23,984.03 = 9,826.31 : x
  2. Step 2: Convert to fraction form
    17,380.41/23,984.03 = 9,826.31/x
  3. Step 3: Cross multiply
    17,380.41x = 23,984.03 × 9,826.31
  4. Step 4: Simplify right side
    17,380.41x = 235,674,344.78
  5. Step 5: Solve for x
    x = 235,674,344.78/17,380.41
  6. Step 6: Final answer
    x = 13,559.77

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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.