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Finding the Fourth Proportional to 26,048.34, 39,077.37 and 8,519.13

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Solution

The fourth proportional to 26,048.34, 39,077.37 and 8,519.13 is: 12,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,048.34 : 39,077.37 = 8,519.13 : x
  2. Step 2: Convert to fraction form
    26,048.34/39,077.37 = 8,519.13/x
  3. Step 3: Cross multiply
    26,048.34x = 39,077.37 × 8,519.13
  4. Step 4: Simplify right side
    26,048.34x = 332,905,195.09
  5. Step 5: Solve for x
    x = 332,905,195.09/26,048.34
  6. Step 6: Final answer
    x = 12,780.28

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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.