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Finding the Fourth Proportional to 13,027.56, 17,978.01 and 7,059.24

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Solution

The fourth proportional to 13,027.56, 17,978.01 and 7,059.24 is: 9,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.56 : 17,978.01 = 7,059.24 : x
  2. Step 2: Convert to fraction form
    13,027.56/17,978.01 = 7,059.24/x
  3. Step 3: Cross multiply
    13,027.56x = 17,978.01 × 7,059.24
  4. Step 4: Simplify right side
    13,027.56x = 126,911,087.31
  5. Step 5: Solve for x
    x = 126,911,087.31/13,027.56
  6. Step 6: Final answer
    x = 9,741.74

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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.