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Finding the Fourth Proportional to 13,027.94, 17,978.51 and 7,059.75

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Solution

The fourth proportional to 13,027.94, 17,978.51 and 7,059.75 is: 9,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.94 : 17,978.51 = 7,059.75 : x
  2. Step 2: Convert to fraction form
    13,027.94/17,978.51 = 7,059.75/x
  3. Step 3: Cross multiply
    13,027.94x = 17,978.51 × 7,059.75
  4. Step 4: Simplify right side
    13,027.94x = 126,923,750.67
  5. Step 5: Solve for x
    x = 126,923,750.67/13,027.94
  6. Step 6: Final answer
    x = 9,742.43

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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.