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Finding the Fourth Proportional to 13,478.15, 20,208.79 and 4,115.05

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Solution

The fourth proportional to 13,478.15, 20,208.79 and 4,115.05 is: 6,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.15 : 20,208.79 = 4,115.05 : x
  2. Step 2: Convert to fraction form
    13,478.15/20,208.79 = 4,115.05/x
  3. Step 3: Cross multiply
    13,478.15x = 20,208.79 × 4,115.05
  4. Step 4: Simplify right side
    13,478.15x = 83,160,249.59
  5. Step 5: Solve for x
    x = 83,160,249.59/13,478.15
  6. Step 6: Final answer
    x = 6,170.01

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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.