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Finding the Fourth Proportional to 16,952.04, 23,391.48 and 9,873

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Solution

The fourth proportional to 16,952.04, 23,391.48 and 9,873 is: 13,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.04 : 23,391.48 = 9,873 : x
  2. Step 2: Convert to fraction form
    16,952.04/23,391.48 = 9,873/x
  3. Step 3: Cross multiply
    16,952.04x = 23,391.48 × 9,873
  4. Step 4: Simplify right side
    16,952.04x = 230,944,082.04
  5. Step 5: Solve for x
    x = 230,944,082.04/16,952.04
  6. Step 6: Final answer
    x = 13,623.38

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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.