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Finding the Fourth Proportional to 23,811.50, 32,861.90 and 13,740.37

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Solution

The fourth proportional to 23,811.50, 32,861.90 and 13,740.37 is: 18,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.50 : 32,861.90 = 13,740.37 : x
  2. Step 2: Convert to fraction form
    23,811.50/32,861.90 = 13,740.37/x
  3. Step 3: Cross multiply
    23,811.50x = 32,861.90 × 13,740.37
  4. Step 4: Simplify right side
    23,811.50x = 451,534,617.10
  5. Step 5: Solve for x
    x = 451,534,617.10/23,811.50
  6. Step 6: Final answer
    x = 18,962.88

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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.