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Finding the Fourth Proportional to 13,675.31, 18,862.49 and 10,496.87

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Solution

The fourth proportional to 13,675.31, 18,862.49 and 10,496.87 is: 14,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.31 : 18,862.49 = 10,496.87 : x
  2. Step 2: Convert to fraction form
    13,675.31/18,862.49 = 10,496.87/x
  3. Step 3: Cross multiply
    13,675.31x = 18,862.49 × 10,496.87
  4. Step 4: Simplify right side
    13,675.31x = 197,997,105.41
  5. Step 5: Solve for x
    x = 197,997,105.41/13,675.31
  6. Step 6: Final answer
    x = 14,478.44

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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.