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Finding the Fourth Proportional to 20,842.95, 31,279.01 and 9,164.37

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Solution

The fourth proportional to 20,842.95, 31,279.01 and 9,164.37 is: 13,752.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.95 : 31,279.01 = 9,164.37 : x
  2. Step 2: Convert to fraction form
    20,842.95/31,279.01 = 9,164.37/x
  3. Step 3: Cross multiply
    20,842.95x = 31,279.01 × 9,164.37
  4. Step 4: Simplify right side
    20,842.95x = 286,652,375.05
  5. Step 5: Solve for x
    x = 286,652,375.05/20,842.95
  6. Step 6: Final answer
    x = 13,752.97

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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.