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Finding the Fourth Proportional to 16,107.84, 22,228.83 and 9,036.54

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Solution

The fourth proportional to 16,107.84, 22,228.83 and 9,036.54 is: 12,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.84 : 22,228.83 = 9,036.54 : x
  2. Step 2: Convert to fraction form
    16,107.84/22,228.83 = 9,036.54/x
  3. Step 3: Cross multiply
    16,107.84x = 22,228.83 × 9,036.54
  4. Step 4: Simplify right side
    16,107.84x = 200,871,711.45
  5. Step 5: Solve for x
    x = 200,871,711.45/16,107.84
  6. Step 6: Final answer
    x = 12,470.43

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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.