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Finding the Fourth Proportional to 18,872.10, 28,313 and 7,178.94

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Solution

The fourth proportional to 18,872.10, 28,313 and 7,178.94 is: 10,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,872.10 : 28,313 = 7,178.94 : x
  2. Step 2: Convert to fraction form
    18,872.10/28,313 = 7,178.94/x
  3. Step 3: Cross multiply
    18,872.10x = 28,313 × 7,178.94
  4. Step 4: Simplify right side
    18,872.10x = 203,257,328.22
  5. Step 5: Solve for x
    x = 203,257,328.22/18,872.10
  6. Step 6: Final answer
    x = 10,770.25

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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.