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Finding the Fourth Proportional to 17,846.46, 26,786.29 and 9,087.93

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Solution

The fourth proportional to 17,846.46, 26,786.29 and 9,087.93 is: 13,640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.46 : 26,786.29 = 9,087.93 : x
  2. Step 2: Convert to fraction form
    17,846.46/26,786.29 = 9,087.93/x
  3. Step 3: Cross multiply
    17,846.46x = 26,786.29 × 9,087.93
  4. Step 4: Simplify right side
    17,846.46x = 243,431,928.48
  5. Step 5: Solve for x
    x = 243,431,928.48/17,846.46
  6. Step 6: Final answer
    x = 13,640.35

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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.