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Finding the Fourth Proportional to 16,567.82, 22,861.88 and 9,396.28

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Solution

The fourth proportional to 16,567.82, 22,861.88 and 9,396.28 is: 12,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.82 : 22,861.88 = 9,396.28 : x
  2. Step 2: Convert to fraction form
    16,567.82/22,861.88 = 9,396.28/x
  3. Step 3: Cross multiply
    16,567.82x = 22,861.88 × 9,396.28
  4. Step 4: Simplify right side
    16,567.82x = 214,816,642.64
  5. Step 5: Solve for x
    x = 214,816,642.64/16,567.82
  6. Step 6: Final answer
    x = 12,965.90

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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.