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Finding the Fourth Proportional to 23,077.50, 31,847.09 and 13,523.03

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Solution

The fourth proportional to 23,077.50, 31,847.09 and 13,523.03 is: 18,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.50 : 31,847.09 = 13,523.03 : x
  2. Step 2: Convert to fraction form
    23,077.50/31,847.09 = 13,523.03/x
  3. Step 3: Cross multiply
    23,077.50x = 31,847.09 × 13,523.03
  4. Step 4: Simplify right side
    23,077.50x = 430,668,926.63
  5. Step 5: Solve for x
    x = 430,668,926.63/23,077.50
  6. Step 6: Final answer
    x = 18,661.85

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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.