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Finding the Fourth Proportional to 18,855.28, 28,282.92 and 7,165.72

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Solution

The fourth proportional to 18,855.28, 28,282.92 and 7,165.72 is: 10,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,855.28 : 28,282.92 = 7,165.72 : x
  2. Step 2: Convert to fraction form
    18,855.28/28,282.92 = 7,165.72/x
  3. Step 3: Cross multiply
    18,855.28x = 28,282.92 × 7,165.72
  4. Step 4: Simplify right side
    18,855.28x = 202,667,485.50
  5. Step 5: Solve for x
    x = 202,667,485.50/18,855.28
  6. Step 6: Final answer
    x = 10,748.58

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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.