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Finding the Fourth Proportional to 13,027.49, 17,977.90 and 7,059.32

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Solution

The fourth proportional to 13,027.49, 17,977.90 and 7,059.32 is: 9,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.49 : 17,977.90 = 7,059.32 : x
  2. Step 2: Convert to fraction form
    13,027.49/17,977.90 = 7,059.32/x
  3. Step 3: Cross multiply
    13,027.49x = 17,977.90 × 7,059.32
  4. Step 4: Simplify right side
    13,027.49x = 126,911,659.14
  5. Step 5: Solve for x
    x = 126,911,659.14/13,027.49
  6. Step 6: Final answer
    x = 9,741.84

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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.