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Finding the Fourth Proportional to 23,464.50, 32,383.71 and 13,394.39

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Solution

The fourth proportional to 23,464.50, 32,383.71 and 13,394.39 is: 18,485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.50 : 32,383.71 = 13,394.39 : x
  2. Step 2: Convert to fraction form
    23,464.50/32,383.71 = 13,394.39/x
  3. Step 3: Cross multiply
    23,464.50x = 32,383.71 × 13,394.39
  4. Step 4: Simplify right side
    23,464.50x = 433,759,879.47
  5. Step 5: Solve for x
    x = 433,759,879.47/23,464.50
  6. Step 6: Final answer
    x = 18,485.79

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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.