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Finding the Fourth Proportional to 20,595.50, 30,893.42 and 13,485.73

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Solution

The fourth proportional to 20,595.50, 30,893.42 and 13,485.73 is: 20,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,595.50 : 30,893.42 = 13,485.73 : x
  2. Step 2: Convert to fraction form
    20,595.50/30,893.42 = 13,485.73/x
  3. Step 3: Cross multiply
    20,595.50x = 30,893.42 × 13,485.73
  4. Step 4: Simplify right side
    20,595.50x = 416,620,253.47
  5. Step 5: Solve for x
    x = 416,620,253.47/20,595.50
  6. Step 6: Final answer
    x = 20,228.70

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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.