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Finding the Fourth Proportional to 21,321.66, 31,967.52 and 9,469.02

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Solution

The fourth proportional to 21,321.66, 31,967.52 and 9,469.02 is: 14,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.66 : 31,967.52 = 9,469.02 : x
  2. Step 2: Convert to fraction form
    21,321.66/31,967.52 = 9,469.02/x
  3. Step 3: Cross multiply
    21,321.66x = 31,967.52 × 9,469.02
  4. Step 4: Simplify right side
    21,321.66x = 302,701,086.23
  5. Step 5: Solve for x
    x = 302,701,086.23/21,321.66
  6. Step 6: Final answer
    x = 14,196.88

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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.