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Finding the Fourth Proportional to 18,672.50, 25,768.32 and 10,289

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Solution

The fourth proportional to 18,672.50, 25,768.32 and 10,289 is: 14,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,672.50 : 25,768.32 = 10,289 : x
  2. Step 2: Convert to fraction form
    18,672.50/25,768.32 = 10,289/x
  3. Step 3: Cross multiply
    18,672.50x = 25,768.32 × 10,289
  4. Step 4: Simplify right side
    18,672.50x = 265,130,244.48
  5. Step 5: Solve for x
    x = 265,130,244.48/18,672.50
  6. Step 6: Final answer
    x = 14,198.97

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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.