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Finding the Fourth Proportional to 26,398.24, 39,598.60 and 6,677

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Solution

The fourth proportional to 26,398.24, 39,598.60 and 6,677 is: 10,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,398.24 : 39,598.60 = 6,677 : x
  2. Step 2: Convert to fraction form
    26,398.24/39,598.60 = 6,677/x
  3. Step 3: Cross multiply
    26,398.24x = 39,598.60 × 6,677
  4. Step 4: Simplify right side
    26,398.24x = 264,399,852.20
  5. Step 5: Solve for x
    x = 264,399,852.20/26,398.24
  6. Step 6: Final answer
    x = 10,015.81

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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.