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Finding the Fourth Proportional to 24,656, 34,025.40 and 13,478

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Solution

The fourth proportional to 24,656, 34,025.40 and 13,478 is: 18,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656 : 34,025.40 = 13,478 : x
  2. Step 2: Convert to fraction form
    24,656/34,025.40 = 13,478/x
  3. Step 3: Cross multiply
    24,656x = 34,025.40 × 13,478
  4. Step 4: Simplify right side
    24,656x = 458,594,341.20
  5. Step 5: Solve for x
    x = 458,594,341.20/24,656
  6. Step 6: Final answer
    x = 18,599.71

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