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Finding the Fourth Proportional to 17,644.78, 24,351.36 and 9,688.54

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Solution

The fourth proportional to 17,644.78, 24,351.36 and 9,688.54 is: 13,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.78 : 24,351.36 = 9,688.54 : x
  2. Step 2: Convert to fraction form
    17,644.78/24,351.36 = 9,688.54/x
  3. Step 3: Cross multiply
    17,644.78x = 24,351.36 × 9,688.54
  4. Step 4: Simplify right side
    17,644.78x = 235,929,125.41
  5. Step 5: Solve for x
    x = 235,929,125.41/17,644.78
  6. Step 6: Final answer
    x = 13,371.04

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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.