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Finding the Fourth Proportional to 16,298.12, 24,435.18 and 5,198.42

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Solution

The fourth proportional to 16,298.12, 24,435.18 and 5,198.42 is: 7,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.12 : 24,435.18 = 5,198.42 : x
  2. Step 2: Convert to fraction form
    16,298.12/24,435.18 = 5,198.42/x
  3. Step 3: Cross multiply
    16,298.12x = 24,435.18 × 5,198.42
  4. Step 4: Simplify right side
    16,298.12x = 127,024,206.24
  5. Step 5: Solve for x
    x = 127,024,206.24/16,298.12
  6. Step 6: Final answer
    x = 7,793.80

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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.