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Finding the Fourth Proportional to 21,266.31, 31,893.74 and 6,471.26

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Solution

The fourth proportional to 21,266.31, 31,893.74 and 6,471.26 is: 9,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,266.31 : 31,893.74 = 6,471.26 : x
  2. Step 2: Convert to fraction form
    21,266.31/31,893.74 = 6,471.26/x
  3. Step 3: Cross multiply
    21,266.31x = 31,893.74 × 6,471.26
  4. Step 4: Simplify right side
    21,266.31x = 206,392,492.09
  5. Step 5: Solve for x
    x = 206,392,492.09/21,266.31
  6. Step 6: Final answer
    x = 9,705.14

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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.