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Finding the Fourth Proportional to 20,283.21, 30,416.51 and 8,428.86

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Solution

The fourth proportional to 20,283.21, 30,416.51 and 8,428.86 is: 12,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283.21 : 30,416.51 = 8,428.86 : x
  2. Step 2: Convert to fraction form
    20,283.21/30,416.51 = 8,428.86/x
  3. Step 3: Cross multiply
    20,283.21x = 30,416.51 × 8,428.86
  4. Step 4: Simplify right side
    20,283.21x = 256,376,525.55
  5. Step 5: Solve for x
    x = 256,376,525.55/20,283.21
  6. Step 6: Final answer
    x = 12,639.84

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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.