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Finding the Fourth Proportional to 20,800.25, 31,187.90 and 9,541.49

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Solution

The fourth proportional to 20,800.25, 31,187.90 and 9,541.49 is: 14,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.25 : 31,187.90 = 9,541.49 : x
  2. Step 2: Convert to fraction form
    20,800.25/31,187.90 = 9,541.49/x
  3. Step 3: Cross multiply
    20,800.25x = 31,187.90 × 9,541.49
  4. Step 4: Simplify right side
    20,800.25x = 297,578,880.03
  5. Step 5: Solve for x
    x = 297,578,880.03/20,800.25
  6. Step 6: Final answer
    x = 14,306.51

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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.