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Finding the Fourth Proportional to 16,084.85, 22,197.07 and 9,011.32

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Solution

The fourth proportional to 16,084.85, 22,197.07 and 9,011.32 is: 12,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.85 : 22,197.07 = 9,011.32 : x
  2. Step 2: Convert to fraction form
    16,084.85/22,197.07 = 9,011.32/x
  3. Step 3: Cross multiply
    16,084.85x = 22,197.07 × 9,011.32
  4. Step 4: Simplify right side
    16,084.85x = 200,024,856.60
  5. Step 5: Solve for x
    x = 200,024,856.60/16,084.85
  6. Step 6: Final answer
    x = 12,435.61

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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.