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Finding the Fourth Proportional to 23,185.16, 32,000.31 and 13,114.03

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Solution

The fourth proportional to 23,185.16, 32,000.31 and 13,114.03 is: 18,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185.16 : 32,000.31 = 13,114.03 : x
  2. Step 2: Convert to fraction form
    23,185.16/32,000.31 = 13,114.03/x
  3. Step 3: Cross multiply
    23,185.16x = 32,000.31 × 13,114.03
  4. Step 4: Simplify right side
    23,185.16x = 419,652,945.35
  5. Step 5: Solve for x
    x = 419,652,945.35/23,185.16
  6. Step 6: Final answer
    x = 18,100.06

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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.