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Finding the Fourth Proportional to 25,343.22, 34,977.96 and 14,739

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Solution

The fourth proportional to 25,343.22, 34,977.96 and 14,739 is: 20,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,343.22 : 34,977.96 = 14,739 : x
  2. Step 2: Convert to fraction form
    25,343.22/34,977.96 = 14,739/x
  3. Step 3: Cross multiply
    25,343.22x = 34,977.96 × 14,739
  4. Step 4: Simplify right side
    25,343.22x = 515,540,152.44
  5. Step 5: Solve for x
    x = 515,540,152.44/25,343.22
  6. Step 6: Final answer
    x = 20,342.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.