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Finding the Fourth Proportional to 12,011.36, 17,991.92 and 9,658.64

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Solution

The fourth proportional to 12,011.36, 17,991.92 and 9,658.64 is: 14,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.36 : 17,991.92 = 9,658.64 : x
  2. Step 2: Convert to fraction form
    12,011.36/17,991.92 = 9,658.64/x
  3. Step 3: Cross multiply
    12,011.36x = 17,991.92 × 9,658.64
  4. Step 4: Simplify right side
    12,011.36x = 173,777,478.19
  5. Step 5: Solve for x
    x = 173,777,478.19/12,011.36
  6. Step 6: Final answer
    x = 14,467.76

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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.