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Finding the Fourth Proportional to 20,101.69, 30,153.98 and 5,310.46

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Solution

The fourth proportional to 20,101.69, 30,153.98 and 5,310.46 is: 7,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.69 : 30,153.98 = 5,310.46 : x
  2. Step 2: Convert to fraction form
    20,101.69/30,153.98 = 5,310.46/x
  3. Step 3: Cross multiply
    20,101.69x = 30,153.98 × 5,310.46
  4. Step 4: Simplify right side
    20,101.69x = 160,131,504.63
  5. Step 5: Solve for x
    x = 160,131,504.63/20,101.69
  6. Step 6: Final answer
    x = 7,966.07

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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.