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Finding the Fourth Proportional to 16,414.95, 24,645.56 and 8,415.54

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Solution

The fourth proportional to 16,414.95, 24,645.56 and 8,415.54 is: 12,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.95 : 24,645.56 = 8,415.54 : x
  2. Step 2: Convert to fraction form
    16,414.95/24,645.56 = 8,415.54/x
  3. Step 3: Cross multiply
    16,414.95x = 24,645.56 × 8,415.54
  4. Step 4: Simplify right side
    16,414.95x = 207,405,653.92
  5. Step 5: Solve for x
    x = 207,405,653.92/16,414.95
  6. Step 6: Final answer
    x = 12,635.17

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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.