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Finding the Fourth Proportional to 13,935.63, 19,231.50 and 7,648

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Solution

The fourth proportional to 13,935.63, 19,231.50 and 7,648 is: 10,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.63 : 19,231.50 = 7,648 : x
  2. Step 2: Convert to fraction form
    13,935.63/19,231.50 = 7,648/x
  3. Step 3: Cross multiply
    13,935.63x = 19,231.50 × 7,648
  4. Step 4: Simplify right side
    13,935.63x = 147,082,512
  5. Step 5: Solve for x
    x = 147,082,512/13,935.63
  6. Step 6: Final answer
    x = 10,554.42

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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.