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Finding the Fourth Proportional to 16,450.40, 22,696.80 and 10,164.80

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Solution

The fourth proportional to 16,450.40, 22,696.80 and 10,164.80 is: 14,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450.40 : 22,696.80 = 10,164.80 : x
  2. Step 2: Convert to fraction form
    16,450.40/22,696.80 = 10,164.80/x
  3. Step 3: Cross multiply
    16,450.40x = 22,696.80 × 10,164.80
  4. Step 4: Simplify right side
    16,450.40x = 230,708,432.64
  5. Step 5: Solve for x
    x = 230,708,432.64/16,450.40
  6. Step 6: Final answer
    x = 14,024.49

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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.