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Finding the Fourth Proportional to 18,479.50, 25,501.84 and 10,096

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Solution

The fourth proportional to 18,479.50, 25,501.84 and 10,096 is: 13,932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,479.50 : 25,501.84 = 10,096 : x
  2. Step 2: Convert to fraction form
    18,479.50/25,501.84 = 10,096/x
  3. Step 3: Cross multiply
    18,479.50x = 25,501.84 × 10,096
  4. Step 4: Simplify right side
    18,479.50x = 257,466,576.64
  5. Step 5: Solve for x
    x = 257,466,576.64/18,479.50
  6. Step 6: Final answer
    x = 13,932.55

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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.