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Finding the Fourth Proportional to 13,027, 17,977.15 and 7,058.65

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Solution

The fourth proportional to 13,027, 17,977.15 and 7,058.65 is: 9,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027 : 17,977.15 = 7,058.65 : x
  2. Step 2: Convert to fraction form
    13,027/17,977.15 = 7,058.65/x
  3. Step 3: Cross multiply
    13,027x = 17,977.15 × 7,058.65
  4. Step 4: Simplify right side
    13,027x = 126,894,409.85
  5. Step 5: Solve for x
    x = 126,894,409.85/13,027
  6. Step 6: Final answer
    x = 9,740.88

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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.