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Finding the Fourth Proportional to 16,185.28, 22,335.60 and 9,111.60

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Solution

The fourth proportional to 16,185.28, 22,335.60 and 9,111.60 is: 12,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.28 : 22,335.60 = 9,111.60 : x
  2. Step 2: Convert to fraction form
    16,185.28/22,335.60 = 9,111.60/x
  3. Step 3: Cross multiply
    16,185.28x = 22,335.60 × 9,111.60
  4. Step 4: Simplify right side
    16,185.28x = 203,513,052.96
  5. Step 5: Solve for x
    x = 203,513,052.96/16,185.28
  6. Step 6: Final answer
    x = 12,573.96

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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.