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Finding the Fourth Proportional to 20,575.50, 30,860.01 and 8,892.06

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Solution

The fourth proportional to 20,575.50, 30,860.01 and 8,892.06 is: 13,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.50 : 30,860.01 = 8,892.06 : x
  2. Step 2: Convert to fraction form
    20,575.50/30,860.01 = 8,892.06/x
  3. Step 3: Cross multiply
    20,575.50x = 30,860.01 × 8,892.06
  4. Step 4: Simplify right side
    20,575.50x = 274,409,060.52
  5. Step 5: Solve for x
    x = 274,409,060.52/20,575.50
  6. Step 6: Final answer
    x = 13,336.69

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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.