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Finding the Fourth Proportional to 23,693.89, 32,697.12 and 13,083.28

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Solution

The fourth proportional to 23,693.89, 32,697.12 and 13,083.28 is: 18,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.89 : 32,697.12 = 13,083.28 : x
  2. Step 2: Convert to fraction form
    23,693.89/32,697.12 = 13,083.28/x
  3. Step 3: Cross multiply
    23,693.89x = 32,697.12 × 13,083.28
  4. Step 4: Simplify right side
    23,693.89x = 427,785,576.15
  5. Step 5: Solve for x
    x = 427,785,576.15/23,693.89
  6. Step 6: Final answer
    x = 18,054.68

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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.