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Finding the Fourth Proportional to 17,716.41, 26,591.01 and 8,957.46

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Solution

The fourth proportional to 17,716.41, 26,591.01 and 8,957.46 is: 13,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.41 : 26,591.01 = 8,957.46 : x
  2. Step 2: Convert to fraction form
    17,716.41/26,591.01 = 8,957.46/x
  3. Step 3: Cross multiply
    17,716.41x = 26,591.01 × 8,957.46
  4. Step 4: Simplify right side
    17,716.41x = 238,187,908.43
  5. Step 5: Solve for x
    x = 238,187,908.43/17,716.41
  6. Step 6: Final answer
    x = 13,444.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.