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Finding the Fourth Proportional to 15,859.71, 23,783.09 and 5,469.03

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Solution

The fourth proportional to 15,859.71, 23,783.09 and 5,469.03 is: 8,201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,859.71 : 23,783.09 = 5,469.03 : x
  2. Step 2: Convert to fraction form
    15,859.71/23,783.09 = 5,469.03/x
  3. Step 3: Cross multiply
    15,859.71x = 23,783.09 × 5,469.03
  4. Step 4: Simplify right side
    15,859.71x = 130,070,405.36
  5. Step 5: Solve for x
    x = 130,070,405.36/15,859.71
  6. Step 6: Final answer
    x = 8,201.31

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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.