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Finding the Fourth Proportional to 23,958.22, 35,936.10 and 9,166

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Solution

The fourth proportional to 23,958.22, 35,936.10 and 9,166 is: 13,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,958.22 : 35,936.10 = 9,166 : x
  2. Step 2: Convert to fraction form
    23,958.22/35,936.10 = 9,166/x
  3. Step 3: Cross multiply
    23,958.22x = 35,936.10 × 9,166
  4. Step 4: Simplify right side
    23,958.22x = 329,390,292.60
  5. Step 5: Solve for x
    x = 329,390,292.60/23,958.22
  6. Step 6: Final answer
    x = 13,748.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.