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Finding the Fourth Proportional to 13,058, 18,020.04 and 7,469.12

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Solution

The fourth proportional to 13,058, 18,020.04 and 7,469.12 is: 10,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058 : 18,020.04 = 7,469.12 : x
  2. Step 2: Convert to fraction form
    13,058/18,020.04 = 7,469.12/x
  3. Step 3: Cross multiply
    13,058x = 18,020.04 × 7,469.12
  4. Step 4: Simplify right side
    13,058x = 134,593,841.16
  5. Step 5: Solve for x
    x = 134,593,841.16/13,058
  6. Step 6: Final answer
    x = 10,307.39

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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.