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Finding the Fourth Proportional to 17,636.31, 24,338.76 and 10,082.64

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Solution

The fourth proportional to 17,636.31, 24,338.76 and 10,082.64 is: 13,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,636.31 : 24,338.76 = 10,082.64 : x
  2. Step 2: Convert to fraction form
    17,636.31/24,338.76 = 10,082.64/x
  3. Step 3: Cross multiply
    17,636.31x = 24,338.76 × 10,082.64
  4. Step 4: Simplify right side
    17,636.31x = 245,398,955.13
  5. Step 5: Solve for x
    x = 245,398,955.13/17,636.31
  6. Step 6: Final answer
    x = 13,914.42

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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.