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Finding the Fourth Proportional to 20,302.50, 30,454.08 and 7,155.03

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Solution

The fourth proportional to 20,302.50, 30,454.08 and 7,155.03 is: 10,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.50 : 30,454.08 = 7,155.03 : x
  2. Step 2: Convert to fraction form
    20,302.50/30,454.08 = 7,155.03/x
  3. Step 3: Cross multiply
    20,302.50x = 30,454.08 × 7,155.03
  4. Step 4: Simplify right side
    20,302.50x = 217,899,856.02
  5. Step 5: Solve for x
    x = 217,899,856.02/20,302.50
  6. Step 6: Final answer
    x = 10,732.66

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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.