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Finding the Fourth Proportional to 16,636.41, 22,962.20 and 9,566.96

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Solution

The fourth proportional to 16,636.41, 22,962.20 and 9,566.96 is: 13,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,636.41 : 22,962.20 = 9,566.96 : x
  2. Step 2: Convert to fraction form
    16,636.41/22,962.20 = 9,566.96/x
  3. Step 3: Cross multiply
    16,636.41x = 22,962.20 × 9,566.96
  4. Step 4: Simplify right side
    16,636.41x = 219,678,286.27
  5. Step 5: Solve for x
    x = 219,678,286.27/16,636.41
  6. Step 6: Final answer
    x = 13,204.67

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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.