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Finding the Fourth Proportional to 16,083.12, 22,195.08 and 9,009.84

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Solution

The fourth proportional to 16,083.12, 22,195.08 and 9,009.84 is: 12,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.12 : 22,195.08 = 9,009.84 : x
  2. Step 2: Convert to fraction form
    16,083.12/22,195.08 = 9,009.84/x
  3. Step 3: Cross multiply
    16,083.12x = 22,195.08 × 9,009.84
  4. Step 4: Simplify right side
    16,083.12x = 199,974,119.59
  5. Step 5: Solve for x
    x = 199,974,119.59/16,083.12
  6. Step 6: Final answer
    x = 12,433.79

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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.