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Finding the Fourth Proportional to 19,667.96, 27,140.84 and 10,715.42

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Solution

The fourth proportional to 19,667.96, 27,140.84 and 10,715.42 is: 14,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.96 : 27,140.84 = 10,715.42 : x
  2. Step 2: Convert to fraction form
    19,667.96/27,140.84 = 10,715.42/x
  3. Step 3: Cross multiply
    19,667.96x = 27,140.84 × 10,715.42
  4. Step 4: Simplify right side
    19,667.96x = 290,825,499.75
  5. Step 5: Solve for x
    x = 290,825,499.75/19,667.96
  6. Step 6: Final answer
    x = 14,786.76

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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.