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Finding the Fourth Proportional to 16,414.12, 24,631.98 and 7,649.56

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Solution

The fourth proportional to 16,414.12, 24,631.98 and 7,649.56 is: 11,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.12 : 24,631.98 = 7,649.56 : x
  2. Step 2: Convert to fraction form
    16,414.12/24,631.98 = 7,649.56/x
  3. Step 3: Cross multiply
    16,414.12x = 24,631.98 × 7,649.56
  4. Step 4: Simplify right side
    16,414.12x = 188,423,808.93
  5. Step 5: Solve for x
    x = 188,423,808.93/16,414.12
  6. Step 6: Final answer
    x = 11,479.37

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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.