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Finding the Fourth Proportional to 20,697.50, 31,050.83 and 7,549.83

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Solution

The fourth proportional to 20,697.50, 31,050.83 and 7,549.83 is: 11,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.50 : 31,050.83 = 7,549.83 : x
  2. Step 2: Convert to fraction form
    20,697.50/31,050.83 = 7,549.83/x
  3. Step 3: Cross multiply
    20,697.50x = 31,050.83 × 7,549.83
  4. Step 4: Simplify right side
    20,697.50x = 234,428,506.73
  5. Step 5: Solve for x
    x = 234,428,506.73/20,697.50
  6. Step 6: Final answer
    x = 11,326.42

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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.