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Finding the Fourth Proportional to 17,058.44, 23,542.38 and 9,506.00

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Solution

The fourth proportional to 17,058.44, 23,542.38 and 9,506.00 is: 13,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,058.44 : 23,542.38 = 9,506.00 : x
  2. Step 2: Convert to fraction form
    17,058.44/23,542.38 = 9,506.00/x
  3. Step 3: Cross multiply
    17,058.44x = 23,542.38 × 9,506.00
  4. Step 4: Simplify right side
    17,058.44x = 223,793,988.21
  5. Step 5: Solve for x
    x = 223,793,988.21/17,058.44
  6. Step 6: Final answer
    x = 13,119.25

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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.