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Finding the Fourth Proportional to 22,457.62, 33,668.14 and 8,409.76

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Solution

The fourth proportional to 22,457.62, 33,668.14 and 8,409.76 is: 12,607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.62 : 33,668.14 = 8,409.76 : x
  2. Step 2: Convert to fraction form
    22,457.62/33,668.14 = 8,409.76/x
  3. Step 3: Cross multiply
    22,457.62x = 33,668.14 × 8,409.76
  4. Step 4: Simplify right side
    22,457.62x = 283,140,977.05
  5. Step 5: Solve for x
    x = 283,140,977.05/22,457.62
  6. Step 6: Final answer
    x = 12,607.79

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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.