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Finding the Fourth Proportional to 17,536.53, 24,201 and 9,983.55

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Solution

The fourth proportional to 17,536.53, 24,201 and 9,983.55 is: 13,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.53 : 24,201 = 9,983.55 : x
  2. Step 2: Convert to fraction form
    17,536.53/24,201 = 9,983.55/x
  3. Step 3: Cross multiply
    17,536.53x = 24,201 × 9,983.55
  4. Step 4: Simplify right side
    17,536.53x = 241,611,893.55
  5. Step 5: Solve for x
    x = 241,611,893.55/17,536.53
  6. Step 6: Final answer
    x = 13,777.63

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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.