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Finding the Fourth Proportional to 20,807.00, 31,213.61 and 7,658.37

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Solution

The fourth proportional to 20,807.00, 31,213.61 and 7,658.37 is: 11,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.00 : 31,213.61 = 7,658.37 : x
  2. Step 2: Convert to fraction form
    20,807.00/31,213.61 = 7,658.37/x
  3. Step 3: Cross multiply
    20,807.00x = 31,213.61 × 7,658.37
  4. Step 4: Simplify right side
    20,807.00x = 239,045,180.06
  5. Step 5: Solve for x
    x = 239,045,180.06/20,807.00
  6. Step 6: Final answer
    x = 11,488.69

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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.