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Finding the Fourth Proportional to 23,757.57, 32,784.14 and 13,146.57

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Solution

The fourth proportional to 23,757.57, 32,784.14 and 13,146.57 is: 18,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.57 : 32,784.14 = 13,146.57 : x
  2. Step 2: Convert to fraction form
    23,757.57/32,784.14 = 13,146.57/x
  3. Step 3: Cross multiply
    23,757.57x = 32,784.14 × 13,146.57
  4. Step 4: Simplify right side
    23,757.57x = 430,999,024.27
  5. Step 5: Solve for x
    x = 430,999,024.27/23,757.57
  6. Step 6: Final answer
    x = 18,141.54

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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.