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Finding the Fourth Proportional to 21,105.31, 31,669.50 and 7,069.63

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Solution

The fourth proportional to 21,105.31, 31,669.50 and 7,069.63 is: 10,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.31 : 31,669.50 = 7,069.63 : x
  2. Step 2: Convert to fraction form
    21,105.31/31,669.50 = 7,069.63/x
  3. Step 3: Cross multiply
    21,105.31x = 31,669.50 × 7,069.63
  4. Step 4: Simplify right side
    21,105.31x = 223,891,647.29
  5. Step 5: Solve for x
    x = 223,891,647.29/21,105.31
  6. Step 6: Final answer
    x = 10,608.31

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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.