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Finding the Fourth Proportional to 23,540.50, 32,485.98 and 13,469.02

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Solution

The fourth proportional to 23,540.50, 32,485.98 and 13,469.02 is: 18,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,540.50 : 32,485.98 = 13,469.02 : x
  2. Step 2: Convert to fraction form
    23,540.50/32,485.98 = 13,469.02/x
  3. Step 3: Cross multiply
    23,540.50x = 32,485.98 × 13,469.02
  4. Step 4: Simplify right side
    23,540.50x = 437,554,314.34
  5. Step 5: Solve for x
    x = 437,554,314.34/23,540.50
  6. Step 6: Final answer
    x = 18,587.30

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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.