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Finding the Fourth Proportional to 13,032.78, 17,984.32 and 7,367.79

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Solution

The fourth proportional to 13,032.78, 17,984.32 and 7,367.79 is: 10,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.78 : 17,984.32 = 7,367.79 : x
  2. Step 2: Convert to fraction form
    13,032.78/17,984.32 = 7,367.79/x
  3. Step 3: Cross multiply
    13,032.78x = 17,984.32 × 7,367.79
  4. Step 4: Simplify right side
    13,032.78x = 132,504,693.05
  5. Step 5: Solve for x
    x = 132,504,693.05/13,032.78
  6. Step 6: Final answer
    x = 10,167.03

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