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Finding the Fourth Proportional to 20,634.45, 30,946.68 and 9,530.46

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Solution

The fourth proportional to 20,634.45, 30,946.68 and 9,530.46 is: 14,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.45 : 30,946.68 = 9,530.46 : x
  2. Step 2: Convert to fraction form
    20,634.45/30,946.68 = 9,530.46/x
  3. Step 3: Cross multiply
    20,634.45x = 30,946.68 × 9,530.46
  4. Step 4: Simplify right side
    20,634.45x = 294,936,095.87
  5. Step 5: Solve for x
    x = 294,936,095.87/20,634.45
  6. Step 6: Final answer
    x = 14,293.38

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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.