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Finding the Fourth Proportional to 26,840, 40,265.76 and 10,424

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Solution

The fourth proportional to 26,840, 40,265.76 and 10,424 is: 15,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,840 : 40,265.76 = 10,424 : x
  2. Step 2: Convert to fraction form
    26,840/40,265.76 = 10,424/x
  3. Step 3: Cross multiply
    26,840x = 40,265.76 × 10,424
  4. Step 4: Simplify right side
    26,840x = 419,730,282.24
  5. Step 5: Solve for x
    x = 419,730,282.24/26,840
  6. Step 6: Final answer
    x = 15,638.24

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