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Finding the Fourth Proportional to 11,132.40, 16,676.98 and 9,949.40

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Solution

The fourth proportional to 11,132.40, 16,676.98 and 9,949.40 is: 14,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.40 : 16,676.98 = 9,949.40 : x
  2. Step 2: Convert to fraction form
    11,132.40/16,676.98 = 9,949.40/x
  3. Step 3: Cross multiply
    11,132.40x = 16,676.98 × 9,949.40
  4. Step 4: Simplify right side
    11,132.40x = 165,925,861.43
  5. Step 5: Solve for x
    x = 165,925,861.43/11,132.40
  6. Step 6: Final answer
    x = 14,904.77

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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.