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Finding the Fourth Proportional to 17,033.75, 23,506.34 and 9,480.08

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Solution

The fourth proportional to 17,033.75, 23,506.34 and 9,480.08 is: 13,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,033.75 : 23,506.34 = 9,480.08 : x
  2. Step 2: Convert to fraction form
    17,033.75/23,506.34 = 9,480.08/x
  3. Step 3: Cross multiply
    17,033.75x = 23,506.34 × 9,480.08
  4. Step 4: Simplify right side
    17,033.75x = 222,842,053.02
  5. Step 5: Solve for x
    x = 222,842,053.02/17,033.75
  6. Step 6: Final answer
    x = 13,082.38

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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.