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Finding the Fourth Proportional to 16,099.68, 24,139.80 and 6,230.64

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Solution

The fourth proportional to 16,099.68, 24,139.80 and 6,230.64 is: 9,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.68 : 24,139.80 = 6,230.64 : x
  2. Step 2: Convert to fraction form
    16,099.68/24,139.80 = 6,230.64/x
  3. Step 3: Cross multiply
    16,099.68x = 24,139.80 × 6,230.64
  4. Step 4: Simplify right side
    16,099.68x = 150,406,403.47
  5. Step 5: Solve for x
    x = 150,406,403.47/16,099.68
  6. Step 6: Final answer
    x = 9,342.20

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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.