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Finding the Fourth Proportional to 20,778.90, 31,173.03 and 9,093.30

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Solution

The fourth proportional to 20,778.90, 31,173.03 and 9,093.30 is: 13,642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.90 : 31,173.03 = 9,093.30 : x
  2. Step 2: Convert to fraction form
    20,778.90/31,173.03 = 9,093.30/x
  3. Step 3: Cross multiply
    20,778.90x = 31,173.03 × 9,093.30
  4. Step 4: Simplify right side
    20,778.90x = 283,465,713.70
  5. Step 5: Solve for x
    x = 283,465,713.70/20,778.90
  6. Step 6: Final answer
    x = 13,642.00

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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.