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Finding the Fourth Proportional to 20,110.50, 30,167.37 and 6,259.50

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Solution

The fourth proportional to 20,110.50, 30,167.37 and 6,259.50 is: 9,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,110.50 : 30,167.37 = 6,259.50 : x
  2. Step 2: Convert to fraction form
    20,110.50/30,167.37 = 6,259.50/x
  3. Step 3: Cross multiply
    20,110.50x = 30,167.37 × 6,259.50
  4. Step 4: Simplify right side
    20,110.50x = 188,832,652.52
  5. Step 5: Solve for x
    x = 188,832,652.52/20,110.50
  6. Step 6: Final answer
    x = 9,389.75

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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.