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Finding the Fourth Proportional to 26,467.76, 36,542.60 and 16,406.90

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Solution

The fourth proportional to 26,467.76, 36,542.60 and 16,406.90 is: 22,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,467.76 : 36,542.60 = 16,406.90 : x
  2. Step 2: Convert to fraction form
    26,467.76/36,542.60 = 16,406.90/x
  3. Step 3: Cross multiply
    26,467.76x = 36,542.60 × 16,406.90
  4. Step 4: Simplify right side
    26,467.76x = 599,550,783.94
  5. Step 5: Solve for x
    x = 599,550,783.94/26,467.76
  6. Step 6: Final answer
    x = 22,652.12

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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.