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Finding the Fourth Proportional to 17,263.25, 23,822.70 and 9,709.90

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Solution

The fourth proportional to 17,263.25, 23,822.70 and 9,709.90 is: 13,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,263.25 : 23,822.70 = 9,709.90 : x
  2. Step 2: Convert to fraction form
    17,263.25/23,822.70 = 9,709.90/x
  3. Step 3: Cross multiply
    17,263.25x = 23,822.70 × 9,709.90
  4. Step 4: Simplify right side
    17,263.25x = 231,316,034.73
  5. Step 5: Solve for x
    x = 231,316,034.73/17,263.25
  6. Step 6: Final answer
    x = 13,399.33

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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.