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Finding the Fourth Proportional to 16,034.56, 22,128 and 8,960.80

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Solution

The fourth proportional to 16,034.56, 22,128 and 8,960.80 is: 12,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034.56 : 22,128 = 8,960.80 : x
  2. Step 2: Convert to fraction form
    16,034.56/22,128 = 8,960.80/x
  3. Step 3: Cross multiply
    16,034.56x = 22,128 × 8,960.80
  4. Step 4: Simplify right side
    16,034.56x = 198,284,582.40
  5. Step 5: Solve for x
    x = 198,284,582.40/16,034.56
  6. Step 6: Final answer
    x = 12,366.08

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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.