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Finding the Fourth Proportional to 13,477.77, 20,208.17 and 4,114.68

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Solution

The fourth proportional to 13,477.77, 20,208.17 and 4,114.68 is: 6,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.77 : 20,208.17 = 4,114.68 : x
  2. Step 2: Convert to fraction form
    13,477.77/20,208.17 = 4,114.68/x
  3. Step 3: Cross multiply
    13,477.77x = 20,208.17 × 4,114.68
  4. Step 4: Simplify right side
    13,477.77x = 83,150,152.94
  5. Step 5: Solve for x
    x = 83,150,152.94/13,477.77
  6. Step 6: Final answer
    x = 6,169.43

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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.