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Finding the Fourth Proportional to 20,933.19, 31,405.77 and 8,446.77

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Solution

The fourth proportional to 20,933.19, 31,405.77 and 8,446.77 is: 12,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,933.19 : 31,405.77 = 8,446.77 : x
  2. Step 2: Convert to fraction form
    20,933.19/31,405.77 = 8,446.77/x
  3. Step 3: Cross multiply
    20,933.19x = 31,405.77 × 8,446.77
  4. Step 4: Simplify right side
    20,933.19x = 265,277,315.86
  5. Step 5: Solve for x
    x = 265,277,315.86/20,933.19
  6. Step 6: Final answer
    x = 12,672.57

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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.