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Finding the Fourth Proportional to 22,806.34, 34,189.53 and 9,668.14

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Solution

The fourth proportional to 22,806.34, 34,189.53 and 9,668.14 is: 14,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.34 : 34,189.53 = 9,668.14 : x
  2. Step 2: Convert to fraction form
    22,806.34/34,189.53 = 9,668.14/x
  3. Step 3: Cross multiply
    22,806.34x = 34,189.53 × 9,668.14
  4. Step 4: Simplify right side
    22,806.34x = 330,549,162.57
  5. Step 5: Solve for x
    x = 330,549,162.57/22,806.34
  6. Step 6: Final answer
    x = 14,493.74

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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.