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Finding the Fourth Proportional to 17,238.57, 23,783.47 and 9,683.85

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Solution

The fourth proportional to 17,238.57, 23,783.47 and 9,683.85 is: 13,360.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.57 : 23,783.47 = 9,683.85 : x
  2. Step 2: Convert to fraction form
    17,238.57/23,783.47 = 9,683.85/x
  3. Step 3: Cross multiply
    17,238.57x = 23,783.47 × 9,683.85
  4. Step 4: Simplify right side
    17,238.57x = 230,315,675.41
  5. Step 5: Solve for x
    x = 230,315,675.41/17,238.57
  6. Step 6: Final answer
    x = 13,360.48

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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.