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Finding the Fourth Proportional to 16,415.84, 24,623.76 and 9,833.78

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Solution

The fourth proportional to 16,415.84, 24,623.76 and 9,833.78 is: 14,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.84 : 24,623.76 = 9,833.78 : x
  2. Step 2: Convert to fraction form
    16,415.84/24,623.76 = 9,833.78/x
  3. Step 3: Cross multiply
    16,415.84x = 24,623.76 × 9,833.78
  4. Step 4: Simplify right side
    16,415.84x = 242,144,638.61
  5. Step 5: Solve for x
    x = 242,144,638.61/16,415.84
  6. Step 6: Final answer
    x = 14,750.67

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