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Finding the Fourth Proportional to 17,708.56, 26,571.80 and 13,546

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Solution

The fourth proportional to 17,708.56, 26,571.80 and 13,546 is: 20,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.56 : 26,571.80 = 13,546 : x
  2. Step 2: Convert to fraction form
    17,708.56/26,571.80 = 13,546/x
  3. Step 3: Cross multiply
    17,708.56x = 26,571.80 × 13,546
  4. Step 4: Simplify right side
    17,708.56x = 359,941,602.80
  5. Step 5: Solve for x
    x = 359,941,602.80/17,708.56
  6. Step 6: Final answer
    x = 20,325.85

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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.