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Finding the Fourth Proportional to 17,536.62, 24,201.83 and 9,985.39

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Solution

The fourth proportional to 17,536.62, 24,201.83 and 9,985.39 is: 13,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.62 : 24,201.83 = 9,985.39 : x
  2. Step 2: Convert to fraction form
    17,536.62/24,201.83 = 9,985.39/x
  3. Step 3: Cross multiply
    17,536.62x = 24,201.83 × 9,985.39
  4. Step 4: Simplify right side
    17,536.62x = 241,664,711.26
  5. Step 5: Solve for x
    x = 241,664,711.26/17,536.62
  6. Step 6: Final answer
    x = 13,780.58

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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.