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Finding the Fourth Proportional to 17,378.40, 23,982.24 and 9,420.64

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Solution

The fourth proportional to 17,378.40, 23,982.24 and 9,420.64 is: 13,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.40 : 23,982.24 = 9,420.64 : x
  2. Step 2: Convert to fraction form
    17,378.40/23,982.24 = 9,420.64/x
  3. Step 3: Cross multiply
    17,378.40x = 23,982.24 × 9,420.64
  4. Step 4: Simplify right side
    17,378.40x = 225,928,049.43
  5. Step 5: Solve for x
    x = 225,928,049.43/17,378.40
  6. Step 6: Final answer
    x = 13,000.51

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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.