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Finding the Fourth Proportional to 17,058.54, 23,542.52 and 9,506.10

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Solution

The fourth proportional to 17,058.54, 23,542.52 and 9,506.10 is: 13,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,058.54 : 23,542.52 = 9,506.10 : x
  2. Step 2: Convert to fraction form
    17,058.54/23,542.52 = 9,506.10/x
  3. Step 3: Cross multiply
    17,058.54x = 23,542.52 × 9,506.10
  4. Step 4: Simplify right side
    17,058.54x = 223,797,549.37
  5. Step 5: Solve for x
    x = 223,797,549.37/17,058.54
  6. Step 6: Final answer
    x = 13,119.38

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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.