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Finding the Fourth Proportional to 17,665.39, 26,507.16 and 9,766.44

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Solution

The fourth proportional to 17,665.39, 26,507.16 and 9,766.44 is: 14,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.39 : 26,507.16 = 9,766.44 : x
  2. Step 2: Convert to fraction form
    17,665.39/26,507.16 = 9,766.44/x
  3. Step 3: Cross multiply
    17,665.39x = 26,507.16 × 9,766.44
  4. Step 4: Simplify right side
    17,665.39x = 258,880,406.34
  5. Step 5: Solve for x
    x = 258,880,406.34/17,665.39
  6. Step 6: Final answer
    x = 14,654.67

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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.