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Finding the Fourth Proportional to 21,026.50, 31,539.75 and 8,553.31

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Solution

The fourth proportional to 21,026.50, 31,539.75 and 8,553.31 is: 12,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,026.50 : 31,539.75 = 8,553.31 : x
  2. Step 2: Convert to fraction form
    21,026.50/31,539.75 = 8,553.31/x
  3. Step 3: Cross multiply
    21,026.50x = 31,539.75 × 8,553.31
  4. Step 4: Simplify right side
    21,026.50x = 269,769,259.07
  5. Step 5: Solve for x
    x = 269,769,259.07/21,026.50
  6. Step 6: Final answer
    x = 12,829.97

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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.