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Finding the Fourth Proportional to 11,076.20, 16,614.30 and 9,823.40

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Solution

The fourth proportional to 11,076.20, 16,614.30 and 9,823.40 is: 14,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.20 : 16,614.30 = 9,823.40 : x
  2. Step 2: Convert to fraction form
    11,076.20/16,614.30 = 9,823.40/x
  3. Step 3: Cross multiply
    11,076.20x = 16,614.30 × 9,823.40
  4. Step 4: Simplify right side
    11,076.20x = 163,208,914.62
  5. Step 5: Solve for x
    x = 163,208,914.62/11,076.20
  6. Step 6: Final answer
    x = 14,735.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.