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Finding the Fourth Proportional to 17,238.20, 23,797.80 and 11,602.58

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Solution

The fourth proportional to 17,238.20, 23,797.80 and 11,602.58 is: 16,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.20 : 23,797.80 = 11,602.58 : x
  2. Step 2: Convert to fraction form
    17,238.20/23,797.80 = 11,602.58/x
  3. Step 3: Cross multiply
    17,238.20x = 23,797.80 × 11,602.58
  4. Step 4: Simplify right side
    17,238.20x = 276,115,759.34
  5. Step 5: Solve for x
    x = 276,115,759.34/17,238.20
  6. Step 6: Final answer
    x = 16,017.67

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