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Finding the Fourth Proportional to 28,144.66, 42,224.10 and 8,423.14

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Solution

The fourth proportional to 28,144.66, 42,224.10 and 8,423.14 is: 12,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,144.66 : 42,224.10 = 8,423.14 : x
  2. Step 2: Convert to fraction form
    28,144.66/42,224.10 = 8,423.14/x
  3. Step 3: Cross multiply
    28,144.66x = 42,224.10 × 8,423.14
  4. Step 4: Simplify right side
    28,144.66x = 355,659,505.67
  5. Step 5: Solve for x
    x = 355,659,505.67/28,144.66
  6. Step 6: Final answer
    x = 12,636.84

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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.