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Finding the Fourth Proportional to 17,258.50, 23,816.73 and 9,806.50

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Solution

The fourth proportional to 17,258.50, 23,816.73 and 9,806.50 is: 13,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,258.50 : 23,816.73 = 9,806.50 : x
  2. Step 2: Convert to fraction form
    17,258.50/23,816.73 = 9,806.50/x
  3. Step 3: Cross multiply
    17,258.50x = 23,816.73 × 9,806.50
  4. Step 4: Simplify right side
    17,258.50x = 233,558,762.75
  5. Step 5: Solve for x
    x = 233,558,762.75/17,258.50
  6. Step 6: Final answer
    x = 13,532.97

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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.