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Finding the Fourth Proportional to 16,037.68, 24,066.24 and 6,183.76

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Solution

The fourth proportional to 16,037.68, 24,066.24 and 6,183.76 is: 9,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,037.68 : 24,066.24 = 6,183.76 : x
  2. Step 2: Convert to fraction form
    16,037.68/24,066.24 = 6,183.76/x
  3. Step 3: Cross multiply
    16,037.68x = 24,066.24 × 6,183.76
  4. Step 4: Simplify right side
    16,037.68x = 148,819,852.26
  5. Step 5: Solve for x
    x = 148,819,852.26/16,037.68
  6. Step 6: Final answer
    x = 9,279.39

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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.