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Finding the Fourth Proportional to 16,091.06, 24,136.63 and 6,857.06

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Solution

The fourth proportional to 16,091.06, 24,136.63 and 6,857.06 is: 10,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.06 : 24,136.63 = 6,857.06 : x
  2. Step 2: Convert to fraction form
    16,091.06/24,136.63 = 6,857.06/x
  3. Step 3: Cross multiply
    16,091.06x = 24,136.63 × 6,857.06
  4. Step 4: Simplify right side
    16,091.06x = 165,506,363.31
  5. Step 5: Solve for x
    x = 165,506,363.31/16,091.06
  6. Step 6: Final answer
    x = 10,285.61

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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.