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Finding the Fourth Proportional to 21,674.36, 32,488.50 and 9,201.08

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Solution

The fourth proportional to 21,674.36, 32,488.50 and 9,201.08 is: 13,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.36 : 32,488.50 = 9,201.08 : x
  2. Step 2: Convert to fraction form
    21,674.36/32,488.50 = 9,201.08/x
  3. Step 3: Cross multiply
    21,674.36x = 32,488.50 × 9,201.08
  4. Step 4: Simplify right side
    21,674.36x = 298,929,287.58
  5. Step 5: Solve for x
    x = 298,929,287.58/21,674.36
  6. Step 6: Final answer
    x = 13,791.84

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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.