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Finding the Fourth Proportional to 13,760.43, 18,969.42 and 10,170.10

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Solution

The fourth proportional to 13,760.43, 18,969.42 and 10,170.10 is: 14,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.43 : 18,969.42 = 10,170.10 : x
  2. Step 2: Convert to fraction form
    13,760.43/18,969.42 = 10,170.10/x
  3. Step 3: Cross multiply
    13,760.43x = 18,969.42 × 10,170.10
  4. Step 4: Simplify right side
    13,760.43x = 192,920,898.34
  5. Step 5: Solve for x
    x = 192,920,898.34/13,760.43
  6. Step 6: Final answer
    x = 14,019.98

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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.