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Finding the Fourth Proportional to 21,284.36, 31,926.48 and 9,583.88

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Solution

The fourth proportional to 21,284.36, 31,926.48 and 9,583.88 is: 14,375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284.36 : 31,926.48 = 9,583.88 : x
  2. Step 2: Convert to fraction form
    21,284.36/31,926.48 = 9,583.88/x
  3. Step 3: Cross multiply
    21,284.36x = 31,926.48 × 9,583.88
  4. Step 4: Simplify right side
    21,284.36x = 305,979,553.14
  5. Step 5: Solve for x
    x = 305,979,553.14/21,284.36
  6. Step 6: Final answer
    x = 14,375.79

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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.