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Finding the Fourth Proportional to 16,083.91, 24,124.70 and 5,410.34

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Solution

The fourth proportional to 16,083.91, 24,124.70 and 5,410.34 is: 8,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.91 : 24,124.70 = 5,410.34 : x
  2. Step 2: Convert to fraction form
    16,083.91/24,124.70 = 5,410.34/x
  3. Step 3: Cross multiply
    16,083.91x = 24,124.70 × 5,410.34
  4. Step 4: Simplify right side
    16,083.91x = 130,522,812.77
  5. Step 5: Solve for x
    x = 130,522,812.77/16,083.91
  6. Step 6: Final answer
    x = 8,115.12

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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.