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Finding the Fourth Proportional to 26,932.40, 40,394.76 and 8,462

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Solution

The fourth proportional to 26,932.40, 40,394.76 and 8,462 is: 12,691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,932.40 : 40,394.76 = 8,462 : x
  2. Step 2: Convert to fraction form
    26,932.40/40,394.76 = 8,462/x
  3. Step 3: Cross multiply
    26,932.40x = 40,394.76 × 8,462
  4. Step 4: Simplify right side
    26,932.40x = 341,820,459.12
  5. Step 5: Solve for x
    x = 341,820,459.12/26,932.40
  6. Step 6: Final answer
    x = 12,691.79

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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.