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Finding the Fourth Proportional to 26,922.63, 40,385.56 and 8,454.63

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Solution

The fourth proportional to 26,922.63, 40,385.56 and 8,454.63 is: 12,682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,922.63 : 40,385.56 = 8,454.63 : x
  2. Step 2: Convert to fraction form
    26,922.63/40,385.56 = 8,454.63/x
  3. Step 3: Cross multiply
    26,922.63x = 40,385.56 × 8,454.63
  4. Step 4: Simplify right side
    26,922.63x = 341,444,967.14
  5. Step 5: Solve for x
    x = 341,444,967.14/26,922.63
  6. Step 6: Final answer
    x = 12,682.45

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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.