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Finding the Fourth Proportional to 16,517.76, 22,787.04 and 9,803.64

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Solution

The fourth proportional to 16,517.76, 22,787.04 and 9,803.64 is: 13,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.76 : 22,787.04 = 9,803.64 : x
  2. Step 2: Convert to fraction form
    16,517.76/22,787.04 = 9,803.64/x
  3. Step 3: Cross multiply
    16,517.76x = 22,787.04 × 9,803.64
  4. Step 4: Simplify right side
    16,517.76x = 223,395,936.83
  5. Step 5: Solve for x
    x = 223,395,936.83/16,517.76
  6. Step 6: Final answer
    x = 13,524.59

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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.