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Finding the Fourth Proportional to 16,083.96, 24,125.94 and 4,397.49

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Solution

The fourth proportional to 16,083.96, 24,125.94 and 4,397.49 is: 6,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.96 : 24,125.94 = 4,397.49 : x
  2. Step 2: Convert to fraction form
    16,083.96/24,125.94 = 4,397.49/x
  3. Step 3: Cross multiply
    16,083.96x = 24,125.94 × 4,397.49
  4. Step 4: Simplify right side
    16,083.96x = 106,093,579.89
  5. Step 5: Solve for x
    x = 106,093,579.89/16,083.96
  6. Step 6: Final answer
    x = 6,596.24

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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.