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Finding the Fourth Proportional to 20,615.46, 30,895.65 and 10,734

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Solution

The fourth proportional to 20,615.46, 30,895.65 and 10,734 is: 16,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,615.46 : 30,895.65 = 10,734 : x
  2. Step 2: Convert to fraction form
    20,615.46/30,895.65 = 10,734/x
  3. Step 3: Cross multiply
    20,615.46x = 30,895.65 × 10,734
  4. Step 4: Simplify right side
    20,615.46x = 331,633,907.10
  5. Step 5: Solve for x
    x = 331,633,907.10/20,615.46
  6. Step 6: Final answer
    x = 16,086.66

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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.