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Finding the Fourth Proportional to 20,714.26, 31,071.40 and 12,396.70

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Solution

The fourth proportional to 20,714.26, 31,071.40 and 12,396.70 is: 18,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.26 : 31,071.40 = 12,396.70 : x
  2. Step 2: Convert to fraction form
    20,714.26/31,071.40 = 12,396.70/x
  3. Step 3: Cross multiply
    20,714.26x = 31,071.40 × 12,396.70
  4. Step 4: Simplify right side
    20,714.26x = 385,182,824.38
  5. Step 5: Solve for x
    x = 385,182,824.38/20,714.26
  6. Step 6: Final answer
    x = 18,595.06

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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.