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Finding the Fourth Proportional to 13,871.63, 19,142.85 and 8,912.27

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Solution

The fourth proportional to 13,871.63, 19,142.85 and 8,912.27 is: 12,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.63 : 19,142.85 = 8,912.27 : x
  2. Step 2: Convert to fraction form
    13,871.63/19,142.85 = 8,912.27/x
  3. Step 3: Cross multiply
    13,871.63x = 19,142.85 × 8,912.27
  4. Step 4: Simplify right side
    13,871.63x = 170,606,152.06
  5. Step 5: Solve for x
    x = 170,606,152.06/13,871.63
  6. Step 6: Final answer
    x = 12,298.93

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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.