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Finding the Fourth Proportional to 13,777.94, 20,666.97 and 3,389.69

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Solution

The fourth proportional to 13,777.94, 20,666.97 and 3,389.69 is: 5,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.94 : 20,666.97 = 3,389.69 : x
  2. Step 2: Convert to fraction form
    13,777.94/20,666.97 = 3,389.69/x
  3. Step 3: Cross multiply
    13,777.94x = 20,666.97 × 3,389.69
  4. Step 4: Simplify right side
    13,777.94x = 70,054,518.20
  5. Step 5: Solve for x
    x = 70,054,518.20/13,777.94
  6. Step 6: Final answer
    x = 5,084.54

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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.