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Finding the Fourth Proportional to 20,714.60, 31,034.10 and 11,923.40

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Solution

The fourth proportional to 20,714.60, 31,034.10 and 11,923.40 is: 17,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.60 : 31,034.10 = 11,923.40 : x
  2. Step 2: Convert to fraction form
    20,714.60/31,034.10 = 11,923.40/x
  3. Step 3: Cross multiply
    20,714.60x = 31,034.10 × 11,923.40
  4. Step 4: Simplify right side
    20,714.60x = 370,031,987.94
  5. Step 5: Solve for x
    x = 370,031,987.94/20,714.60
  6. Step 6: Final answer
    x = 17,863.34

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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.