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Finding the Fourth Proportional to 16,414.32, 24,619.41 and 4,568.98

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Solution

The fourth proportional to 16,414.32, 24,619.41 and 4,568.98 is: 6,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.32 : 24,619.41 = 4,568.98 : x
  2. Step 2: Convert to fraction form
    16,414.32/24,619.41 = 4,568.98/x
  3. Step 3: Cross multiply
    16,414.32x = 24,619.41 × 4,568.98
  4. Step 4: Simplify right side
    16,414.32x = 112,485,468.80
  5. Step 5: Solve for x
    x = 112,485,468.80/16,414.32
  6. Step 6: Final answer
    x = 6,852.89

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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.