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Finding the Fourth Proportional to 26,176.80, 39,259.32 and 7,456.44

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Solution

The fourth proportional to 26,176.80, 39,259.32 and 7,456.44 is: 11,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,176.80 : 39,259.32 = 7,456.44 : x
  2. Step 2: Convert to fraction form
    26,176.80/39,259.32 = 7,456.44/x
  3. Step 3: Cross multiply
    26,176.80x = 39,259.32 × 7,456.44
  4. Step 4: Simplify right side
    26,176.80x = 292,734,764.02
  5. Step 5: Solve for x
    x = 292,734,764.02/26,176.80
  6. Step 6: Final answer
    x = 11,182.99

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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.