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Finding the Fourth Proportional to 10,813.40, 16,229.70 and 9,354.20

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Solution

The fourth proportional to 10,813.40, 16,229.70 and 9,354.20 is: 14,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.40 : 16,229.70 = 9,354.20 : x
  2. Step 2: Convert to fraction form
    10,813.40/16,229.70 = 9,354.20/x
  3. Step 3: Cross multiply
    10,813.40x = 16,229.70 × 9,354.20
  4. Step 4: Simplify right side
    10,813.40x = 151,815,859.74
  5. Step 5: Solve for x
    x = 151,815,859.74/10,813.40
  6. Step 6: Final answer
    x = 14,039.60

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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.