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Finding the Fourth Proportional to 24,578.54, 36,870.20 and 9,784.00

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Solution

The fourth proportional to 24,578.54, 36,870.20 and 9,784.00 is: 14,676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.54 : 36,870.20 = 9,784.00 : x
  2. Step 2: Convert to fraction form
    24,578.54/36,870.20 = 9,784.00/x
  3. Step 3: Cross multiply
    24,578.54x = 36,870.20 × 9,784.00
  4. Step 4: Simplify right side
    24,578.54x = 360,737,803.53
  5. Step 5: Solve for x
    x = 360,737,803.53/24,578.54
  6. Step 6: Final answer
    x = 14,676.94

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