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Finding the Fourth Proportional to 23,077.50, 31,847.10 and 13,523.04

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Solution

The fourth proportional to 23,077.50, 31,847.10 and 13,523.04 is: 18,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.50 : 31,847.10 = 13,523.04 : x
  2. Step 2: Convert to fraction form
    23,077.50/31,847.10 = 13,523.04/x
  3. Step 3: Cross multiply
    23,077.50x = 31,847.10 × 13,523.04
  4. Step 4: Simplify right side
    23,077.50x = 430,669,607.18
  5. Step 5: Solve for x
    x = 430,669,607.18/23,077.50
  6. Step 6: Final answer
    x = 18,661.88

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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.