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Finding the Fourth Proportional to 16,082.88, 22,194.24 and 9,009.36

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Solution

The fourth proportional to 16,082.88, 22,194.24 and 9,009.36 is: 12,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.88 : 22,194.24 = 9,009.36 : x
  2. Step 2: Convert to fraction form
    16,082.88/22,194.24 = 9,009.36/x
  3. Step 3: Cross multiply
    16,082.88x = 22,194.24 × 9,009.36
  4. Step 4: Simplify right side
    16,082.88x = 199,955,898.09
  5. Step 5: Solve for x
    x = 199,955,898.09/16,082.88
  6. Step 6: Final answer
    x = 12,432.84

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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.