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Finding the Fourth Proportional to 17,368.22, 23,967.99 and 9,410.42

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Solution

The fourth proportional to 17,368.22, 23,967.99 and 9,410.42 is: 12,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,368.22 : 23,967.99 = 9,410.42 : x
  2. Step 2: Convert to fraction form
    17,368.22/23,967.99 = 9,410.42/x
  3. Step 3: Cross multiply
    17,368.22x = 23,967.99 × 9,410.42
  4. Step 4: Simplify right side
    17,368.22x = 225,548,912.38
  5. Step 5: Solve for x
    x = 225,548,912.38/17,368.22
  6. Step 6: Final answer
    x = 12,986.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.