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Finding the Fourth Proportional to 18,782.70, 28,170.72 and 7,096.02

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Solution

The fourth proportional to 18,782.70, 28,170.72 and 7,096.02 is: 10,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.70 : 28,170.72 = 7,096.02 : x
  2. Step 2: Convert to fraction form
    18,782.70/28,170.72 = 7,096.02/x
  3. Step 3: Cross multiply
    18,782.70x = 28,170.72 × 7,096.02
  4. Step 4: Simplify right side
    18,782.70x = 199,899,992.53
  5. Step 5: Solve for x
    x = 199,899,992.53/18,782.70
  6. Step 6: Final answer
    x = 10,642.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.