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Finding the Fourth Proportional to 22,996.13, 34,507.49 and 9,668.06

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Solution

The fourth proportional to 22,996.13, 34,507.49 and 9,668.06 is: 14,507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.13 : 34,507.49 = 9,668.06 : x
  2. Step 2: Convert to fraction form
    22,996.13/34,507.49 = 9,668.06/x
  3. Step 3: Cross multiply
    22,996.13x = 34,507.49 × 9,668.06
  4. Step 4: Simplify right side
    22,996.13x = 333,620,262.89
  5. Step 5: Solve for x
    x = 333,620,262.89/22,996.13
  6. Step 6: Final answer
    x = 14,507.67

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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.