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Finding the Fourth Proportional to 13,027.46, 17,977.65 and 7,362.09

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Solution

The fourth proportional to 13,027.46, 17,977.65 and 7,362.09 is: 10,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.46 : 17,977.65 = 7,362.09 : x
  2. Step 2: Convert to fraction form
    13,027.46/17,977.65 = 7,362.09/x
  3. Step 3: Cross multiply
    13,027.46x = 17,977.65 × 7,362.09
  4. Step 4: Simplify right side
    13,027.46x = 132,353,077.29
  5. Step 5: Solve for x
    x = 132,353,077.29/13,027.46
  6. Step 6: Final answer
    x = 10,159.55

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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.