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Finding the Fourth Proportional to 16,414.57, 24,619.79 and 4,569.23

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Solution

The fourth proportional to 16,414.57, 24,619.79 and 4,569.23 is: 6,853.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.57 : 24,619.79 = 4,569.23 : x
  2. Step 2: Convert to fraction form
    16,414.57/24,619.79 = 4,569.23/x
  3. Step 3: Cross multiply
    16,414.57x = 24,619.79 × 4,569.23
  4. Step 4: Simplify right side
    16,414.57x = 112,493,371.39
  5. Step 5: Solve for x
    x = 112,493,371.39/16,414.57
  6. Step 6: Final answer
    x = 6,853.26

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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.