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Finding the Fourth Proportional to 17,015.81, 23,470.16 and 10,289.84

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Solution

The fourth proportional to 17,015.81, 23,470.16 and 10,289.84 is: 14,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,015.81 : 23,470.16 = 10,289.84 : x
  2. Step 2: Convert to fraction form
    17,015.81/23,470.16 = 10,289.84/x
  3. Step 3: Cross multiply
    17,015.81x = 23,470.16 × 10,289.84
  4. Step 4: Simplify right side
    17,015.81x = 241,504,022.37
  5. Step 5: Solve for x
    x = 241,504,022.37/17,015.81
  6. Step 6: Final answer
    x = 14,192.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.