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Finding the Fourth Proportional to 10,917.60, 16,387.85 and 9,676.13

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Solution

The fourth proportional to 10,917.60, 16,387.85 and 9,676.13 is: 14,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.60 : 16,387.85 = 9,676.13 : x
  2. Step 2: Convert to fraction form
    10,917.60/16,387.85 = 9,676.13/x
  3. Step 3: Cross multiply
    10,917.60x = 16,387.85 × 9,676.13
  4. Step 4: Simplify right side
    10,917.60x = 158,570,836.70
  5. Step 5: Solve for x
    x = 158,570,836.70/10,917.60
  6. Step 6: Final answer
    x = 14,524.33

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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.