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Finding the Fourth Proportional to 20,743, 28,615.50 and 14,031

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Solution

The fourth proportional to 20,743, 28,615.50 and 14,031 is: 19,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,743 : 28,615.50 = 14,031 : x
  2. Step 2: Convert to fraction form
    20,743/28,615.50 = 14,031/x
  3. Step 3: Cross multiply
    20,743x = 28,615.50 × 14,031
  4. Step 4: Simplify right side
    20,743x = 401,504,080.50
  5. Step 5: Solve for x
    x = 401,504,080.50/20,743
  6. Step 6: Final answer
    x = 19,356.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.