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Finding the Fourth Proportional to 19,667.10, 27,142.11 and 11,170.74

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Solution

The fourth proportional to 19,667.10, 27,142.11 and 11,170.74 is: 15,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.10 : 27,142.11 = 11,170.74 : x
  2. Step 2: Convert to fraction form
    19,667.10/27,142.11 = 11,170.74/x
  3. Step 3: Cross multiply
    19,667.10x = 27,142.11 × 11,170.74
  4. Step 4: Simplify right side
    19,667.10x = 303,197,453.86
  5. Step 5: Solve for x
    x = 303,197,453.86/19,667.10
  6. Step 6: Final answer
    x = 15,416.48

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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.