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Finding the Fourth Proportional to 20,794.83, 31,173.61 and 7,638.00

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Solution

The fourth proportional to 20,794.83, 31,173.61 and 7,638.00 is: 11,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.83 : 31,173.61 = 7,638.00 : x
  2. Step 2: Convert to fraction form
    20,794.83/31,173.61 = 7,638.00/x
  3. Step 3: Cross multiply
    20,794.83x = 31,173.61 × 7,638.00
  4. Step 4: Simplify right side
    20,794.83x = 238,103,911.51
  5. Step 5: Solve for x
    x = 238,103,911.51/20,794.83
  6. Step 6: Final answer
    x = 11,450.15

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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.