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Finding the Fourth Proportional to 26,199.96, 39,298.86 and 6,478.02

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Solution

The fourth proportional to 26,199.96, 39,298.86 and 6,478.02 is: 9,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,199.96 : 39,298.86 = 6,478.02 : x
  2. Step 2: Convert to fraction form
    26,199.96/39,298.86 = 6,478.02/x
  3. Step 3: Cross multiply
    26,199.96x = 39,298.86 × 6,478.02
  4. Step 4: Simplify right side
    26,199.96x = 254,578,801.06
  5. Step 5: Solve for x
    x = 254,578,801.06/26,199.96
  6. Step 6: Final answer
    x = 9,716.76

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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.