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Finding the Fourth Proportional to 26,455.32, 39,682.84 and 6,734.16

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Solution

The fourth proportional to 26,455.32, 39,682.84 and 6,734.16 is: 10,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,455.32 : 39,682.84 = 6,734.16 : x
  2. Step 2: Convert to fraction form
    26,455.32/39,682.84 = 6,734.16/x
  3. Step 3: Cross multiply
    26,455.32x = 39,682.84 × 6,734.16
  4. Step 4: Simplify right side
    26,455.32x = 267,230,593.81
  5. Step 5: Solve for x
    x = 267,230,593.81/26,455.32
  6. Step 6: Final answer
    x = 10,101.20

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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.