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Finding the Fourth Proportional to 17,364, 26,059.97 and 9,046.50

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Solution

The fourth proportional to 17,364, 26,059.97 and 9,046.50 is: 13,577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364 : 26,059.97 = 9,046.50 : x
  2. Step 2: Convert to fraction form
    17,364/26,059.97 = 9,046.50/x
  3. Step 3: Cross multiply
    17,364x = 26,059.97 × 9,046.50
  4. Step 4: Simplify right side
    17,364x = 235,751,473.37
  5. Step 5: Solve for x
    x = 235,751,473.37/17,364
  6. Step 6: Final answer
    x = 13,577.03

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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.