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Finding the Fourth Proportional to 16,220.80, 22,358.46 and 11,744.80

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Solution

The fourth proportional to 16,220.80, 22,358.46 and 11,744.80 is: 16,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.80 : 22,358.46 = 11,744.80 : x
  2. Step 2: Convert to fraction form
    16,220.80/22,358.46 = 11,744.80/x
  3. Step 3: Cross multiply
    16,220.80x = 22,358.46 × 11,744.80
  4. Step 4: Simplify right side
    16,220.80x = 262,595,641.01
  5. Step 5: Solve for x
    x = 262,595,641.01/16,220.80
  6. Step 6: Final answer
    x = 16,188.82

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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.