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Finding the Fourth Proportional to 16,420.84, 24,608.34 and 12,414.91

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Solution

The fourth proportional to 16,420.84, 24,608.34 and 12,414.91 is: 18,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.84 : 24,608.34 = 12,414.91 : x
  2. Step 2: Convert to fraction form
    16,420.84/24,608.34 = 12,414.91/x
  3. Step 3: Cross multiply
    16,420.84x = 24,608.34 × 12,414.91
  4. Step 4: Simplify right side
    16,420.84x = 305,510,328.74
  5. Step 5: Solve for x
    x = 305,510,328.74/16,420.84
  6. Step 6: Final answer
    x = 18,605.04

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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.