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Finding the Fourth Proportional to 23,265.78, 32,099.54 and 13,193.43

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Solution

The fourth proportional to 23,265.78, 32,099.54 and 13,193.43 is: 18,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265.78 : 32,099.54 = 13,193.43 : x
  2. Step 2: Convert to fraction form
    23,265.78/32,099.54 = 13,193.43/x
  3. Step 3: Cross multiply
    23,265.78x = 32,099.54 × 13,193.43
  4. Step 4: Simplify right side
    23,265.78x = 423,502,968.06
  5. Step 5: Solve for x
    x = 423,502,968.06/23,265.78
  6. Step 6: Final answer
    x = 18,202.83

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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.