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Finding the Fourth Proportional to 17,380.24, 23,984.71 and 9,422.40

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Solution

The fourth proportional to 17,380.24, 23,984.71 and 9,422.40 is: 13,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,380.24 : 23,984.71 = 9,422.40 : x
  2. Step 2: Convert to fraction form
    17,380.24/23,984.71 = 9,422.40/x
  3. Step 3: Cross multiply
    17,380.24x = 23,984.71 × 9,422.40
  4. Step 4: Simplify right side
    17,380.24x = 225,993,531.50
  5. Step 5: Solve for x
    x = 225,993,531.50/17,380.24
  6. Step 6: Final answer
    x = 13,002.90

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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.