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Finding the Fourth Proportional to 13,266.89, 19,900.34 and 3,406.97

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Solution

The fourth proportional to 13,266.89, 19,900.34 and 3,406.97 is: 5,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.89 : 19,900.34 = 3,406.97 : x
  2. Step 2: Convert to fraction form
    13,266.89/19,900.34 = 3,406.97/x
  3. Step 3: Cross multiply
    13,266.89x = 19,900.34 × 3,406.97
  4. Step 4: Simplify right side
    13,266.89x = 67,799,744.83
  5. Step 5: Solve for x
    x = 67,799,744.83/13,266.89
  6. Step 6: Final answer
    x = 5,110.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.