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Finding the Fourth Proportional to 17,022.10, 23,490.31 and 9,468.38

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Solution

The fourth proportional to 17,022.10, 23,490.31 and 9,468.38 is: 13,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.10 : 23,490.31 = 9,468.38 : x
  2. Step 2: Convert to fraction form
    17,022.10/23,490.31 = 9,468.38/x
  3. Step 3: Cross multiply
    17,022.10x = 23,490.31 × 9,468.38
  4. Step 4: Simplify right side
    17,022.10x = 222,415,181.40
  5. Step 5: Solve for x
    x = 222,415,181.40/17,022.10
  6. Step 6: Final answer
    x = 13,066.26

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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.