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Finding the Fourth Proportional to 13,778.67, 19,042.56 and 10,420.41

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Solution

The fourth proportional to 13,778.67, 19,042.56 and 10,420.41 is: 14,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.67 : 19,042.56 = 10,420.41 : x
  2. Step 2: Convert to fraction form
    13,778.67/19,042.56 = 10,420.41/x
  3. Step 3: Cross multiply
    13,778.67x = 19,042.56 × 10,420.41
  4. Step 4: Simplify right side
    13,778.67x = 198,431,282.65
  5. Step 5: Solve for x
    x = 198,431,282.65/13,778.67
  6. Step 6: Final answer
    x = 14,401.34

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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.