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Finding the Fourth Proportional to 11,107.36, 16,628.64 and 9,622

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Solution

The fourth proportional to 11,107.36, 16,628.64 and 9,622 is: 14,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.36 : 16,628.64 = 9,622 : x
  2. Step 2: Convert to fraction form
    11,107.36/16,628.64 = 9,622/x
  3. Step 3: Cross multiply
    11,107.36x = 16,628.64 × 9,622
  4. Step 4: Simplify right side
    11,107.36x = 160,000,774.08
  5. Step 5: Solve for x
    x = 160,000,774.08/11,107.36
  6. Step 6: Final answer
    x = 14,404.93

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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.