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Finding the Fourth Proportional to 14,111.46, 19,469.43 and 9,396.54

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Solution

The fourth proportional to 14,111.46, 19,469.43 and 9,396.54 is: 12,964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.46 : 19,469.43 = 9,396.54 : x
  2. Step 2: Convert to fraction form
    14,111.46/19,469.43 = 9,396.54/x
  3. Step 3: Cross multiply
    14,111.46x = 19,469.43 × 9,396.54
  4. Step 4: Simplify right side
    14,111.46x = 182,945,277.77
  5. Step 5: Solve for x
    x = 182,945,277.77/14,111.46
  6. Step 6: Final answer
    x = 12,964.31

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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.