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Finding the Fourth Proportional to 20,230.34, 30,344.54 and 7,085.66

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Solution

The fourth proportional to 20,230.34, 30,344.54 and 7,085.66 is: 10,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230.34 : 30,344.54 = 7,085.66 : x
  2. Step 2: Convert to fraction form
    20,230.34/30,344.54 = 7,085.66/x
  3. Step 3: Cross multiply
    20,230.34x = 30,344.54 × 7,085.66
  4. Step 4: Simplify right side
    20,230.34x = 215,011,093.30
  5. Step 5: Solve for x
    x = 215,011,093.30/20,230.34
  6. Step 6: Final answer
    x = 10,628.15

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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.