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Finding the Fourth Proportional to 13,964.82, 19,270.44 and 8,299.32

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Solution

The fourth proportional to 13,964.82, 19,270.44 and 8,299.32 is: 11,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.82 : 19,270.44 = 8,299.32 : x
  2. Step 2: Convert to fraction form
    13,964.82/19,270.44 = 8,299.32/x
  3. Step 3: Cross multiply
    13,964.82x = 19,270.44 × 8,299.32
  4. Step 4: Simplify right side
    13,964.82x = 159,931,548.10
  5. Step 5: Solve for x
    x = 159,931,548.10/13,964.82
  6. Step 6: Final answer
    x = 11,452.46

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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.