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Finding the Fourth Proportional to 20,526.72, 30,770.64 and 6,666

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Solution

The fourth proportional to 20,526.72, 30,770.64 and 6,666 is: 9,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,526.72 : 30,770.64 = 6,666 : x
  2. Step 2: Convert to fraction form
    20,526.72/30,770.64 = 6,666/x
  3. Step 3: Cross multiply
    20,526.72x = 30,770.64 × 6,666
  4. Step 4: Simplify right side
    20,526.72x = 205,117,086.24
  5. Step 5: Solve for x
    x = 205,117,086.24/20,526.72
  6. Step 6: Final answer
    x = 9,992.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.