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Finding the Fourth Proportional to 17,912.94, 24,719.09 and 9,955.66

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Solution

The fourth proportional to 17,912.94, 24,719.09 and 9,955.66 is: 13,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,912.94 : 24,719.09 = 9,955.66 : x
  2. Step 2: Convert to fraction form
    17,912.94/24,719.09 = 9,955.66/x
  3. Step 3: Cross multiply
    17,912.94x = 24,719.09 × 9,955.66
  4. Step 4: Simplify right side
    17,912.94x = 246,094,731.95
  5. Step 5: Solve for x
    x = 246,094,731.95/17,912.94
  6. Step 6: Final answer
    x = 13,738.38

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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.