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Finding the Fourth Proportional to 17,154.36, 23,670 and 10,082.22

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Solution

The fourth proportional to 17,154.36, 23,670 and 10,082.22 is: 13,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.36 : 23,670 = 10,082.22 : x
  2. Step 2: Convert to fraction form
    17,154.36/23,670 = 10,082.22/x
  3. Step 3: Cross multiply
    17,154.36x = 23,670 × 10,082.22
  4. Step 4: Simplify right side
    17,154.36x = 238,646,147.40
  5. Step 5: Solve for x
    x = 238,646,147.40/17,154.36
  6. Step 6: Final answer
    x = 13,911.69

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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.