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Finding the Fourth Proportional to 17,189.14, 23,719.15 and 10,019.19

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Solution

The fourth proportional to 17,189.14, 23,719.15 and 10,019.19 is: 13,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.14 : 23,719.15 = 10,019.19 : x
  2. Step 2: Convert to fraction form
    17,189.14/23,719.15 = 10,019.19/x
  3. Step 3: Cross multiply
    17,189.14x = 23,719.15 × 10,019.19
  4. Step 4: Simplify right side
    17,189.14x = 237,646,800.14
  5. Step 5: Solve for x
    x = 237,646,800.14/17,189.14
  6. Step 6: Final answer
    x = 13,825.41

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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.