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Finding the Fourth Proportional to 13,597.98, 20,397.57 and 4,238.22

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Solution

The fourth proportional to 13,597.98, 20,397.57 and 4,238.22 is: 6,357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.98 : 20,397.57 = 4,238.22 : x
  2. Step 2: Convert to fraction form
    13,597.98/20,397.57 = 4,238.22/x
  3. Step 3: Cross multiply
    13,597.98x = 20,397.57 × 4,238.22
  4. Step 4: Simplify right side
    13,597.98x = 86,449,473.56
  5. Step 5: Solve for x
    x = 86,449,473.56/13,597.98
  6. Step 6: Final answer
    x = 6,357.52

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