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Finding the Fourth Proportional to 20,843.45, 31,279.76 and 9,164.87

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Solution

The fourth proportional to 20,843.45, 31,279.76 and 9,164.87 is: 13,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.45 : 31,279.76 = 9,164.87 : x
  2. Step 2: Convert to fraction form
    20,843.45/31,279.76 = 9,164.87/x
  3. Step 3: Cross multiply
    20,843.45x = 31,279.76 × 9,164.87
  4. Step 4: Simplify right side
    20,843.45x = 286,674,934.03
  5. Step 5: Solve for x
    x = 286,674,934.03/20,843.45
  6. Step 6: Final answer
    x = 13,753.72

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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.