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Finding the Fourth Proportional to 23,829.72, 32,871.35 and 14,861.65

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Solution

The fourth proportional to 23,829.72, 32,871.35 and 14,861.65 is: 20,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.72 : 32,871.35 = 14,861.65 : x
  2. Step 2: Convert to fraction form
    23,829.72/32,871.35 = 14,861.65/x
  3. Step 3: Cross multiply
    23,829.72x = 32,871.35 × 14,861.65
  4. Step 4: Simplify right side
    23,829.72x = 488,522,576.44
  5. Step 5: Solve for x
    x = 488,522,576.44/23,829.72
  6. Step 6: Final answer
    x = 20,500.56

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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.