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Finding the Fourth Proportional to 21,180.54, 31,771.04 and 6,389.59

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Solution

The fourth proportional to 21,180.54, 31,771.04 and 6,389.59 is: 9,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,180.54 : 31,771.04 = 6,389.59 : x
  2. Step 2: Convert to fraction form
    21,180.54/31,771.04 = 6,389.59/x
  3. Step 3: Cross multiply
    21,180.54x = 31,771.04 × 6,389.59
  4. Step 4: Simplify right side
    21,180.54x = 203,003,805.27
  5. Step 5: Solve for x
    x = 203,003,805.27/21,180.54
  6. Step 6: Final answer
    x = 9,584.45

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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.