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Finding the Fourth Proportional to 17,662.30, 24,373.42 and 9,704.02

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Solution

The fourth proportional to 17,662.30, 24,373.42 and 9,704.02 is: 13,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.30 : 24,373.42 = 9,704.02 : x
  2. Step 2: Convert to fraction form
    17,662.30/24,373.42 = 9,704.02/x
  3. Step 3: Cross multiply
    17,662.30x = 24,373.42 × 9,704.02
  4. Step 4: Simplify right side
    17,662.30x = 236,520,069.95
  5. Step 5: Solve for x
    x = 236,520,069.95/17,662.30
  6. Step 6: Final answer
    x = 13,391.24

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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.