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Finding the Fourth Proportional to 13,439.83, 18,546.12 and 7,471.39

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Solution

The fourth proportional to 13,439.83, 18,546.12 and 7,471.39 is: 10,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,439.83 : 18,546.12 = 7,471.39 : x
  2. Step 2: Convert to fraction form
    13,439.83/18,546.12 = 7,471.39/x
  3. Step 3: Cross multiply
    13,439.83x = 18,546.12 × 7,471.39
  4. Step 4: Simplify right side
    13,439.83x = 138,565,295.51
  5. Step 5: Solve for x
    x = 138,565,295.51/13,439.83
  6. Step 6: Final answer
    x = 10,310.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.