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Finding the Fourth Proportional to 16,517.82, 22,787.22 and 9,803.74

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Solution

The fourth proportional to 16,517.82, 22,787.22 and 9,803.74 is: 13,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.82 : 22,787.22 = 9,803.74 : x
  2. Step 2: Convert to fraction form
    16,517.82/22,787.22 = 9,803.74/x
  3. Step 3: Cross multiply
    16,517.82x = 22,787.22 × 9,803.74
  4. Step 4: Simplify right side
    16,517.82x = 223,399,980.20
  5. Step 5: Solve for x
    x = 223,399,980.20/16,517.82
  6. Step 6: Final answer
    x = 13,524.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.