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Finding the Fourth Proportional to 16,493.84, 24,740.42 and 4,013.94

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Solution

The fourth proportional to 16,493.84, 24,740.42 and 4,013.94 is: 6,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.84 : 24,740.42 = 4,013.94 : x
  2. Step 2: Convert to fraction form
    16,493.84/24,740.42 = 4,013.94/x
  3. Step 3: Cross multiply
    16,493.84x = 24,740.42 × 4,013.94
  4. Step 4: Simplify right side
    16,493.84x = 99,306,517.58
  5. Step 5: Solve for x
    x = 99,306,517.58/16,493.84
  6. Step 6: Final answer
    x = 6,020.82

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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.