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Finding the Fourth Proportional to 18,769.87, 25,872.64 and 14,784.67

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Solution

The fourth proportional to 18,769.87, 25,872.64 and 14,784.67 is: 20,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,769.87 : 25,872.64 = 14,784.67 : x
  2. Step 2: Convert to fraction form
    18,769.87/25,872.64 = 14,784.67/x
  3. Step 3: Cross multiply
    18,769.87x = 25,872.64 × 14,784.67
  4. Step 4: Simplify right side
    18,769.87x = 382,518,444.43
  5. Step 5: Solve for x
    x = 382,518,444.43/18,769.87
  6. Step 6: Final answer
    x = 20,379.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.