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Finding the Fourth Proportional to 13,109.20, 19,667 and 6,182

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Solution

The fourth proportional to 13,109.20, 19,667 and 6,182 is: 9,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.20 : 19,667 = 6,182 : x
  2. Step 2: Convert to fraction form
    13,109.20/19,667 = 6,182/x
  3. Step 3: Cross multiply
    13,109.20x = 19,667 × 6,182
  4. Step 4: Simplify right side
    13,109.20x = 121,581,394
  5. Step 5: Solve for x
    x = 121,581,394/13,109.20
  6. Step 6: Final answer
    x = 9,274.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.