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Finding the Fourth Proportional to 13,868.64, 19,138.02 and 8,563.92

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Solution

The fourth proportional to 13,868.64, 19,138.02 and 8,563.92 is: 11,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.64 : 19,138.02 = 8,563.92 : x
  2. Step 2: Convert to fraction form
    13,868.64/19,138.02 = 8,563.92/x
  3. Step 3: Cross multiply
    13,868.64x = 19,138.02 × 8,563.92
  4. Step 4: Simplify right side
    13,868.64x = 163,896,472.24
  5. Step 5: Solve for x
    x = 163,896,472.24/13,868.64
  6. Step 6: Final answer
    x = 11,817.78

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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.