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Finding the Fourth Proportional to 22,234.36, 30,691.14 and 12,806.68

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Solution

The fourth proportional to 22,234.36, 30,691.14 and 12,806.68 is: 17,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.36 : 30,691.14 = 12,806.68 : x
  2. Step 2: Convert to fraction form
    22,234.36/30,691.14 = 12,806.68/x
  3. Step 3: Cross multiply
    22,234.36x = 30,691.14 × 12,806.68
  4. Step 4: Simplify right side
    22,234.36x = 393,051,608.82
  5. Step 5: Solve for x
    x = 393,051,608.82/22,234.36
  6. Step 6: Final answer
    x = 17,677.67

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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.