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Finding the Fourth Proportional to 13,760.70, 20,641.06 and 13,059.50

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Solution

The fourth proportional to 13,760.70, 20,641.06 and 13,059.50 is: 19,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.70 : 20,641.06 = 13,059.50 : x
  2. Step 2: Convert to fraction form
    13,760.70/20,641.06 = 13,059.50/x
  3. Step 3: Cross multiply
    13,760.70x = 20,641.06 × 13,059.50
  4. Step 4: Simplify right side
    13,760.70x = 269,561,923.07
  5. Step 5: Solve for x
    x = 269,561,923.07/13,760.70
  6. Step 6: Final answer
    x = 19,589.26

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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.