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Finding the Fourth Proportional to 10,944.60, 16,416.90 and 10,099.80

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Solution

The fourth proportional to 10,944.60, 16,416.90 and 10,099.80 is: 15,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944.60 : 16,416.90 = 10,099.80 : x
  2. Step 2: Convert to fraction form
    10,944.60/16,416.90 = 10,099.80/x
  3. Step 3: Cross multiply
    10,944.60x = 16,416.90 × 10,099.80
  4. Step 4: Simplify right side
    10,944.60x = 165,807,406.62
  5. Step 5: Solve for x
    x = 165,807,406.62/10,944.60
  6. Step 6: Final answer
    x = 15,149.70

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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.