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Finding the Fourth Proportional to 20,703.26, 31,064 and 10,849.60

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Solution

The fourth proportional to 20,703.26, 31,064 and 10,849.60 is: 16,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.26 : 31,064 = 10,849.60 : x
  2. Step 2: Convert to fraction form
    20,703.26/31,064 = 10,849.60/x
  3. Step 3: Cross multiply
    20,703.26x = 31,064 × 10,849.60
  4. Step 4: Simplify right side
    20,703.26x = 337,031,974.40
  5. Step 5: Solve for x
    x = 337,031,974.40/20,703.26
  6. Step 6: Final answer
    x = 16,279.17

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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.