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Finding the Fourth Proportional to 17,534, 26,313.96 and 8,300

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Solution

The fourth proportional to 17,534, 26,313.96 and 8,300 is: 12,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534 : 26,313.96 = 8,300 : x
  2. Step 2: Convert to fraction form
    17,534/26,313.96 = 8,300/x
  3. Step 3: Cross multiply
    17,534x = 26,313.96 × 8,300
  4. Step 4: Simplify right side
    17,534x = 218,405,868
  5. Step 5: Solve for x
    x = 218,405,868/17,534
  6. Step 6: Final answer
    x = 12,456.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.