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Finding the Fourth Proportional to 20,602.50, 30,902.19 and 6,561.96

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Solution

The fourth proportional to 20,602.50, 30,902.19 and 6,561.96 is: 9,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,602.50 : 30,902.19 = 6,561.96 : x
  2. Step 2: Convert to fraction form
    20,602.50/30,902.19 = 6,561.96/x
  3. Step 3: Cross multiply
    20,602.50x = 30,902.19 × 6,561.96
  4. Step 4: Simplify right side
    20,602.50x = 202,778,934.69
  5. Step 5: Solve for x
    x = 202,778,934.69/20,602.50
  6. Step 6: Final answer
    x = 9,842.44

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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.