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Finding the Fourth Proportional to 17,678.82, 24,396.80 and 10,127.67

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Solution

The fourth proportional to 17,678.82, 24,396.80 and 10,127.67 is: 13,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.82 : 24,396.80 = 10,127.67 : x
  2. Step 2: Convert to fraction form
    17,678.82/24,396.80 = 10,127.67/x
  3. Step 3: Cross multiply
    17,678.82x = 24,396.80 × 10,127.67
  4. Step 4: Simplify right side
    17,678.82x = 247,082,597.33
  5. Step 5: Solve for x
    x = 247,082,597.33/17,678.82
  6. Step 6: Final answer
    x = 13,976.19

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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.