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Finding the Fourth Proportional to 20,689, 31,029.76 and 8,849.43

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Solution

The fourth proportional to 20,689, 31,029.76 and 8,849.43 is: 13,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689 : 31,029.76 = 8,849.43 : x
  2. Step 2: Convert to fraction form
    20,689/31,029.76 = 8,849.43/x
  3. Step 3: Cross multiply
    20,689x = 31,029.76 × 8,849.43
  4. Step 4: Simplify right side
    20,689x = 274,595,689.04
  5. Step 5: Solve for x
    x = 274,595,689.04/20,689
  6. Step 6: Final answer
    x = 13,272.55

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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.