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Finding the Fourth Proportional to 17,300.50, 25,969.23 and 7,444.66

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Solution

The fourth proportional to 17,300.50, 25,969.23 and 7,444.66 is: 11,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,300.50 : 25,969.23 = 7,444.66 : x
  2. Step 2: Convert to fraction form
    17,300.50/25,969.23 = 7,444.66/x
  3. Step 3: Cross multiply
    17,300.50x = 25,969.23 × 7,444.66
  4. Step 4: Simplify right side
    17,300.50x = 193,332,087.81
  5. Step 5: Solve for x
    x = 193,332,087.81/17,300.50
  6. Step 6: Final answer
    x = 11,174.94

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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.