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Finding the Fourth Proportional to 13,777.74, 20,666.48 and 3,389.49

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Solution

The fourth proportional to 13,777.74, 20,666.48 and 3,389.49 is: 5,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.74 : 20,666.48 = 3,389.49 : x
  2. Step 2: Convert to fraction form
    13,777.74/20,666.48 = 3,389.49/x
  3. Step 3: Cross multiply
    13,777.74x = 20,666.48 × 3,389.49
  4. Step 4: Simplify right side
    13,777.74x = 70,048,810.35
  5. Step 5: Solve for x
    x = 70,048,810.35/13,777.74
  6. Step 6: Final answer
    x = 5,084.20

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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.