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Finding the Fourth Proportional to 15,714.83, 23,540.41 and 7,269.34

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Solution

The fourth proportional to 15,714.83, 23,540.41 and 7,269.34 is: 10,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.83 : 23,540.41 = 7,269.34 : x
  2. Step 2: Convert to fraction form
    15,714.83/23,540.41 = 7,269.34/x
  3. Step 3: Cross multiply
    15,714.83x = 23,540.41 × 7,269.34
  4. Step 4: Simplify right side
    15,714.83x = 171,123,244.03
  5. Step 5: Solve for x
    x = 171,123,244.03/15,714.83
  6. Step 6: Final answer
    x = 10,889.28

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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.