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Finding the Fourth Proportional to 16,315.60, 24,424.80 and 9,738.40

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Solution

The fourth proportional to 16,315.60, 24,424.80 and 9,738.40 is: 14,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.60 : 24,424.80 = 9,738.40 : x
  2. Step 2: Convert to fraction form
    16,315.60/24,424.80 = 9,738.40/x
  3. Step 3: Cross multiply
    16,315.60x = 24,424.80 × 9,738.40
  4. Step 4: Simplify right side
    16,315.60x = 237,858,472.32
  5. Step 5: Solve for x
    x = 237,858,472.32/16,315.60
  6. Step 6: Final answer
    x = 14,578.59

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