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Finding the Fourth Proportional to 17,237.72, 23,788.14 and 9,684.37

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Solution

The fourth proportional to 17,237.72, 23,788.14 and 9,684.37 is: 13,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,237.72 : 23,788.14 = 9,684.37 : x
  2. Step 2: Convert to fraction form
    17,237.72/23,788.14 = 9,684.37/x
  3. Step 3: Cross multiply
    17,237.72x = 23,788.14 × 9,684.37
  4. Step 4: Simplify right side
    17,237.72x = 230,373,149.37
  5. Step 5: Solve for x
    x = 230,373,149.37/17,237.72
  6. Step 6: Final answer
    x = 13,364.48

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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.