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Finding the Fourth Proportional to 13,412.73, 20,119.05 and 4,178.73

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Solution

The fourth proportional to 13,412.73, 20,119.05 and 4,178.73 is: 6,268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.73 : 20,119.05 = 4,178.73 : x
  2. Step 2: Convert to fraction form
    13,412.73/20,119.05 = 4,178.73/x
  3. Step 3: Cross multiply
    13,412.73x = 20,119.05 × 4,178.73
  4. Step 4: Simplify right side
    13,412.73x = 84,072,077.81
  5. Step 5: Solve for x
    x = 84,072,077.81/13,412.73
  6. Step 6: Final answer
    x = 6,268.08

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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.