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Finding the Fourth Proportional to 16,414.08, 24,620.28 and 6,025

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Solution

The fourth proportional to 16,414.08, 24,620.28 and 6,025 is: 9,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.08 : 24,620.28 = 6,025 : x
  2. Step 2: Convert to fraction form
    16,414.08/24,620.28 = 6,025/x
  3. Step 3: Cross multiply
    16,414.08x = 24,620.28 × 6,025
  4. Step 4: Simplify right side
    16,414.08x = 148,337,187
  5. Step 5: Solve for x
    x = 148,337,187/16,414.08
  6. Step 6: Final answer
    x = 9,037.19

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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.