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Finding the Fourth Proportional to 38,424.39, 57,662.48 and 13,464.66

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Solution

The fourth proportional to 38,424.39, 57,662.48 and 13,464.66 is: 20,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424.39 : 57,662.48 = 13,464.66 : x
  2. Step 2: Convert to fraction form
    38,424.39/57,662.48 = 13,464.66/x
  3. Step 3: Cross multiply
    38,424.39x = 57,662.48 × 13,464.66
  4. Step 4: Simplify right side
    38,424.39x = 776,405,543.80
  5. Step 5: Solve for x
    x = 776,405,543.80/38,424.39
  6. Step 6: Final answer
    x = 20,206.06

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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.