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Finding the Fourth Proportional to 17,191.82, 23,719.11 and 10,020.10

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Solution

The fourth proportional to 17,191.82, 23,719.11 and 10,020.10 is: 13,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,191.82 : 23,719.11 = 10,020.10 : x
  2. Step 2: Convert to fraction form
    17,191.82/23,719.11 = 10,020.10/x
  3. Step 3: Cross multiply
    17,191.82x = 23,719.11 × 10,020.10
  4. Step 4: Simplify right side
    17,191.82x = 237,667,854.11
  5. Step 5: Solve for x
    x = 237,667,854.11/17,191.82
  6. Step 6: Final answer
    x = 13,824.47

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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.