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Finding the Fourth Proportional to 14,876.12, 20,511.42 and 9,571.16

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Solution

The fourth proportional to 14,876.12, 20,511.42 and 9,571.16 is: 13,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.12 : 20,511.42 = 9,571.16 : x
  2. Step 2: Convert to fraction form
    14,876.12/20,511.42 = 9,571.16/x
  3. Step 3: Cross multiply
    14,876.12x = 20,511.42 × 9,571.16
  4. Step 4: Simplify right side
    14,876.12x = 196,318,082.65
  5. Step 5: Solve for x
    x = 196,318,082.65/14,876.12
  6. Step 6: Final answer
    x = 13,196.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.