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Finding the Fourth Proportional to 17,263.80, 23,823.30 and 9,710

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Solution

The fourth proportional to 17,263.80, 23,823.30 and 9,710 is: 13,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,263.80 : 23,823.30 = 9,710 : x
  2. Step 2: Convert to fraction form
    17,263.80/23,823.30 = 9,710/x
  3. Step 3: Cross multiply
    17,263.80x = 23,823.30 × 9,710
  4. Step 4: Simplify right side
    17,263.80x = 231,324,243
  5. Step 5: Solve for x
    x = 231,324,243/17,263.80
  6. Step 6: Final answer
    x = 13,399.38

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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.